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Finding the Fourth Proportional to 2,511.62, 3,766.24 and 929.82

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Solution

The fourth proportional to 2,511.62, 3,766.24 and 929.82 is: 1,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.62 : 3,766.24 = 929.82 : x
  2. Step 2: Convert to fraction form
    2,511.62/3,766.24 = 929.82/x
  3. Step 3: Cross multiply
    2,511.62x = 3,766.24 × 929.82
  4. Step 4: Simplify right side
    2,511.62x = 3,501,925.28
  5. Step 5: Solve for x
    x = 3,501,925.28/2,511.62
  6. Step 6: Final answer
    x = 1,394.29

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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.