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Finding the Fourth Proportional to 2,302.38, 3,454.02 and 916.37

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Solution

The fourth proportional to 2,302.38, 3,454.02 and 916.37 is: 1,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.38 : 3,454.02 = 916.37 : x
  2. Step 2: Convert to fraction form
    2,302.38/3,454.02 = 916.37/x
  3. Step 3: Cross multiply
    2,302.38x = 3,454.02 × 916.37
  4. Step 4: Simplify right side
    2,302.38x = 3,165,143.04
  5. Step 5: Solve for x
    x = 3,165,143.04/2,302.38
  6. Step 6: Final answer
    x = 1,374.73

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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.