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Finding the Fourth Proportional to 2,385.42, 3,578.13 and 742.07

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Solution

The fourth proportional to 2,385.42, 3,578.13 and 742.07 is: 1,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.42 : 3,578.13 = 742.07 : x
  2. Step 2: Convert to fraction form
    2,385.42/3,578.13 = 742.07/x
  3. Step 3: Cross multiply
    2,385.42x = 3,578.13 × 742.07
  4. Step 4: Simplify right side
    2,385.42x = 2,655,205.04
  5. Step 5: Solve for x
    x = 2,655,205.04/2,385.42
  6. Step 6: Final answer
    x = 1,113.10

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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.