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Finding the Fourth Proportional to 2,385.24, 3,578.57 and 742.02

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Solution

The fourth proportional to 2,385.24, 3,578.57 and 742.02 is: 1,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.24 : 3,578.57 = 742.02 : x
  2. Step 2: Convert to fraction form
    2,385.24/3,578.57 = 742.02/x
  3. Step 3: Cross multiply
    2,385.24x = 3,578.57 × 742.02
  4. Step 4: Simplify right side
    2,385.24x = 2,655,366.80
  5. Step 5: Solve for x
    x = 2,655,366.80/2,385.24
  6. Step 6: Final answer
    x = 1,113.25

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