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Finding the Fourth Proportional to 1,977.92, 2,951.52 and 1,715.48

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Solution

The fourth proportional to 1,977.92, 2,951.52 and 1,715.48 is: 2,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.92 : 2,951.52 = 1,715.48 : x
  2. Step 2: Convert to fraction form
    1,977.92/2,951.52 = 1,715.48/x
  3. Step 3: Cross multiply
    1,977.92x = 2,951.52 × 1,715.48
  4. Step 4: Simplify right side
    1,977.92x = 5,063,273.53
  5. Step 5: Solve for x
    x = 5,063,273.53/1,977.92
  6. Step 6: Final answer
    x = 2,559.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.