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Finding the Fourth Proportional to 2,952.52, 4,428.89 and 1,004.47

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Solution

The fourth proportional to 2,952.52, 4,428.89 and 1,004.47 is: 1,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.52 : 4,428.89 = 1,004.47 : x
  2. Step 2: Convert to fraction form
    2,952.52/4,428.89 = 1,004.47/x
  3. Step 3: Cross multiply
    2,952.52x = 4,428.89 × 1,004.47
  4. Step 4: Simplify right side
    2,952.52x = 4,448,687.14
  5. Step 5: Solve for x
    x = 4,448,687.14/2,952.52
  6. Step 6: Final answer
    x = 1,506.74

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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.