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Finding the Fourth Proportional to 2,829.52, 4,245.24 and 981.20

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Solution

The fourth proportional to 2,829.52, 4,245.24 and 981.20 is: 1,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.52 : 4,245.24 = 981.20 : x
  2. Step 2: Convert to fraction form
    2,829.52/4,245.24 = 981.20/x
  3. Step 3: Cross multiply
    2,829.52x = 4,245.24 × 981.20
  4. Step 4: Simplify right side
    2,829.52x = 4,165,429.49
  5. Step 5: Solve for x
    x = 4,165,429.49/2,829.52
  6. Step 6: Final answer
    x = 1,472.13

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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.