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Finding the Fourth Proportional to 2,613.08, 3,915.07 and 2,177.14

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Solution

The fourth proportional to 2,613.08, 3,915.07 and 2,177.14 is: 3,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.08 : 3,915.07 = 2,177.14 : x
  2. Step 2: Convert to fraction form
    2,613.08/3,915.07 = 2,177.14/x
  3. Step 3: Cross multiply
    2,613.08x = 3,915.07 × 2,177.14
  4. Step 4: Simplify right side
    2,613.08x = 8,523,655.50
  5. Step 5: Solve for x
    x = 8,523,655.50/2,613.08
  6. Step 6: Final answer
    x = 3,261.92

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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.