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Finding the Fourth Proportional to 2,952.47, 4,428.95 and 761.19

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Solution

The fourth proportional to 2,952.47, 4,428.95 and 761.19 is: 1,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.47 : 4,428.95 = 761.19 : x
  2. Step 2: Convert to fraction form
    2,952.47/4,428.95 = 761.19/x
  3. Step 3: Cross multiply
    2,952.47x = 4,428.95 × 761.19
  4. Step 4: Simplify right side
    2,952.47x = 3,371,272.45
  5. Step 5: Solve for x
    x = 3,371,272.45/2,952.47
  6. Step 6: Final answer
    x = 1,141.85

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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.