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Finding the Fourth Proportional to 2,475.48, 3,715.10 and 916.44

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Solution

The fourth proportional to 2,475.48, 3,715.10 and 916.44 is: 1,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.48 : 3,715.10 = 916.44 : x
  2. Step 2: Convert to fraction form
    2,475.48/3,715.10 = 916.44/x
  3. Step 3: Cross multiply
    2,475.48x = 3,715.10 × 916.44
  4. Step 4: Simplify right side
    2,475.48x = 3,404,651.17
  5. Step 5: Solve for x
    x = 3,404,651.17/2,475.48
  6. Step 6: Final answer
    x = 1,375.35

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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.