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Finding the Fourth Proportional to 2,899.38, 4,348.82 and 924.92

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Solution

The fourth proportional to 2,899.38, 4,348.82 and 924.92 is: 1,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.38 : 4,348.82 = 924.92 : x
  2. Step 2: Convert to fraction form
    2,899.38/4,348.82 = 924.92/x
  3. Step 3: Cross multiply
    2,899.38x = 4,348.82 × 924.92
  4. Step 4: Simplify right side
    2,899.38x = 4,022,284.23
  5. Step 5: Solve for x
    x = 4,022,284.23/2,899.38
  6. Step 6: Final answer
    x = 1,387.29

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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.