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Finding the Fourth Proportional to 3,438.74, 4,745.34 and 1,866.80

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Solution

The fourth proportional to 3,438.74, 4,745.34 and 1,866.80 is: 2,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.74 : 4,745.34 = 1,866.80 : x
  2. Step 2: Convert to fraction form
    3,438.74/4,745.34 = 1,866.80/x
  3. Step 3: Cross multiply
    3,438.74x = 4,745.34 × 1,866.80
  4. Step 4: Simplify right side
    3,438.74x = 8,858,600.71
  5. Step 5: Solve for x
    x = 8,858,600.71/3,438.74
  6. Step 6: Final answer
    x = 2,576.12

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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.