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Finding the Fourth Proportional to 2,715.13, 4,073.10 and 984.16

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Solution

The fourth proportional to 2,715.13, 4,073.10 and 984.16 is: 1,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.13 : 4,073.10 = 984.16 : x
  2. Step 2: Convert to fraction form
    2,715.13/4,073.10 = 984.16/x
  3. Step 3: Cross multiply
    2,715.13x = 4,073.10 × 984.16
  4. Step 4: Simplify right side
    2,715.13x = 4,008,582.10
  5. Step 5: Solve for x
    x = 4,008,582.10/2,715.13
  6. Step 6: Final answer
    x = 1,476.39

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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.