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Finding the Fourth Proportional to 3,438.56, 4,745.32 and 1,866.76

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Solution

The fourth proportional to 3,438.56, 4,745.32 and 1,866.76 is: 2,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.56 : 4,745.32 = 1,866.76 : x
  2. Step 2: Convert to fraction form
    3,438.56/4,745.32 = 1,866.76/x
  3. Step 3: Cross multiply
    3,438.56x = 4,745.32 × 1,866.76
  4. Step 4: Simplify right side
    3,438.56x = 8,858,357.03
  5. Step 5: Solve for x
    x = 8,858,357.03/3,438.56
  6. Step 6: Final answer
    x = 2,576.18

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.