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Finding the Fourth Proportional to 2,996.68, 4,495.71 and 916.85

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Solution

The fourth proportional to 2,996.68, 4,495.71 and 916.85 is: 1,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.68 : 4,495.71 = 916.85 : x
  2. Step 2: Convert to fraction form
    2,996.68/4,495.71 = 916.85/x
  3. Step 3: Cross multiply
    2,996.68x = 4,495.71 × 916.85
  4. Step 4: Simplify right side
    2,996.68x = 4,121,892.40
  5. Step 5: Solve for x
    x = 4,121,892.40/2,996.68
  6. Step 6: Final answer
    x = 1,375.48

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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.