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Finding the Fourth Proportional to 2,382.31, 3,572.16 and 738.40

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Solution

The fourth proportional to 2,382.31, 3,572.16 and 738.40 is: 1,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.31 : 3,572.16 = 738.40 : x
  2. Step 2: Convert to fraction form
    2,382.31/3,572.16 = 738.40/x
  3. Step 3: Cross multiply
    2,382.31x = 3,572.16 × 738.40
  4. Step 4: Simplify right side
    2,382.31x = 2,637,682.94
  5. Step 5: Solve for x
    x = 2,637,682.94/2,382.31
  6. Step 6: Final answer
    x = 1,107.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.