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Finding the Fourth Proportional to 2,480.52, 3,715.38 and 1,902.72

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Solution

The fourth proportional to 2,480.52, 3,715.38 and 1,902.72 is: 2,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.52 : 3,715.38 = 1,902.72 : x
  2. Step 2: Convert to fraction form
    2,480.52/3,715.38 = 1,902.72/x
  3. Step 3: Cross multiply
    2,480.52x = 3,715.38 × 1,902.72
  4. Step 4: Simplify right side
    2,480.52x = 7,069,327.83
  5. Step 5: Solve for x
    x = 7,069,327.83/2,480.52
  6. Step 6: Final answer
    x = 2,849.94

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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.