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Finding the Fourth Proportional to 2,952.73, 4,429.68 and 1,005.13

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Solution

The fourth proportional to 2,952.73, 4,429.68 and 1,005.13 is: 1,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.73 : 4,429.68 = 1,005.13 : x
  2. Step 2: Convert to fraction form
    2,952.73/4,429.68 = 1,005.13/x
  3. Step 3: Cross multiply
    2,952.73x = 4,429.68 × 1,005.13
  4. Step 4: Simplify right side
    2,952.73x = 4,452,404.26
  5. Step 5: Solve for x
    x = 4,452,404.26/2,952.73
  6. Step 6: Final answer
    x = 1,507.89

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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.