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Finding the Fourth Proportional to 3,173.78, 4,760.57 and 981.92

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Solution

The fourth proportional to 3,173.78, 4,760.57 and 981.92 is: 1,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.78 : 4,760.57 = 981.92 : x
  2. Step 2: Convert to fraction form
    3,173.78/4,760.57 = 981.92/x
  3. Step 3: Cross multiply
    3,173.78x = 4,760.57 × 981.92
  4. Step 4: Simplify right side
    3,173.78x = 4,674,513.25
  5. Step 5: Solve for x
    x = 4,674,513.25/3,173.78
  6. Step 6: Final answer
    x = 1,472.85

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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.