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Finding the Fourth Proportional to 2,715.40, 4,073.10 and 2,477.80

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Solution

The fourth proportional to 2,715.40, 4,073.10 and 2,477.80 is: 3,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.40 : 4,073.10 = 2,477.80 : x
  2. Step 2: Convert to fraction form
    2,715.40/4,073.10 = 2,477.80/x
  3. Step 3: Cross multiply
    2,715.40x = 4,073.10 × 2,477.80
  4. Step 4: Simplify right side
    2,715.40x = 10,092,327.18
  5. Step 5: Solve for x
    x = 10,092,327.18/2,715.40
  6. Step 6: Final answer
    x = 3,716.70

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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.