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Finding the Fourth Proportional to 1,866.75, 2,576.16 and 1,120.74

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Solution

The fourth proportional to 1,866.75, 2,576.16 and 1,120.74 is: 1,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.75 : 2,576.16 = 1,120.74 : x
  2. Step 2: Convert to fraction form
    1,866.75/2,576.16 = 1,120.74/x
  3. Step 3: Cross multiply
    1,866.75x = 2,576.16 × 1,120.74
  4. Step 4: Simplify right side
    1,866.75x = 2,887,205.56
  5. Step 5: Solve for x
    x = 2,887,205.56/1,866.75
  6. Step 6: Final answer
    x = 1,546.65

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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.