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Finding the Fourth Proportional to 2,996.75, 4,495.10 and 916.74

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Solution

The fourth proportional to 2,996.75, 4,495.10 and 916.74 is: 1,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.75 : 4,495.10 = 916.74 : x
  2. Step 2: Convert to fraction form
    2,996.75/4,495.10 = 916.74/x
  3. Step 3: Cross multiply
    2,996.75x = 4,495.10 × 916.74
  4. Step 4: Simplify right side
    2,996.75x = 4,120,837.97
  5. Step 5: Solve for x
    x = 4,120,837.97/2,996.75
  6. Step 6: Final answer
    x = 1,375.10

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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.