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Finding the Fourth Proportional to 2,764.85, 4,147.61 and 916.16

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Solution

The fourth proportional to 2,764.85, 4,147.61 and 916.16 is: 1,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.85 : 4,147.61 = 916.16 : x
  2. Step 2: Convert to fraction form
    2,764.85/4,147.61 = 916.16/x
  3. Step 3: Cross multiply
    2,764.85x = 4,147.61 × 916.16
  4. Step 4: Simplify right side
    2,764.85x = 3,799,849.06
  5. Step 5: Solve for x
    x = 3,799,849.06/2,764.85
  6. Step 6: Final answer
    x = 1,374.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.