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Finding the Fourth Proportional to 2,478.09, 3,715.10 and 1,161.17

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Solution

The fourth proportional to 2,478.09, 3,715.10 and 1,161.17 is: 1,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.09 : 3,715.10 = 1,161.17 : x
  2. Step 2: Convert to fraction form
    2,478.09/3,715.10 = 1,161.17/x
  3. Step 3: Cross multiply
    2,478.09x = 3,715.10 × 1,161.17
  4. Step 4: Simplify right side
    2,478.09x = 4,313,856.57
  5. Step 5: Solve for x
    x = 4,313,856.57/2,478.09
  6. Step 6: Final answer
    x = 1,740.80

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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.