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Finding the Fourth Proportional to 2,829.74, 4,248.25 and 1,532.12

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Solution

The fourth proportional to 2,829.74, 4,248.25 and 1,532.12 is: 2,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.74 : 4,248.25 = 1,532.12 : x
  2. Step 2: Convert to fraction form
    2,829.74/4,248.25 = 1,532.12/x
  3. Step 3: Cross multiply
    2,829.74x = 4,248.25 × 1,532.12
  4. Step 4: Simplify right side
    2,829.74x = 6,508,803.72
  5. Step 5: Solve for x
    x = 6,508,803.72/2,829.74
  6. Step 6: Final answer
    x = 2,300.15

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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.