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Finding the Fourth Proportional to 2,148.78, 3,224.25 and 916.62

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Solution

The fourth proportional to 2,148.78, 3,224.25 and 916.62 is: 1,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.78 : 3,224.25 = 916.62 : x
  2. Step 2: Convert to fraction form
    2,148.78/3,224.25 = 916.62/x
  3. Step 3: Cross multiply
    2,148.78x = 3,224.25 × 916.62
  4. Step 4: Simplify right side
    2,148.78x = 2,955,412.04
  5. Step 5: Solve for x
    x = 2,955,412.04/2,148.78
  6. Step 6: Final answer
    x = 1,375.39

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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.