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Finding the Fourth Proportional to 2,680.16, 3,700.05 and 2,469.38

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Solution

The fourth proportional to 2,680.16, 3,700.05 and 2,469.38 is: 3,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.16 : 3,700.05 = 2,469.38 : x
  2. Step 2: Convert to fraction form
    2,680.16/3,700.05 = 2,469.38/x
  3. Step 3: Cross multiply
    2,680.16x = 3,700.05 × 2,469.38
  4. Step 4: Simplify right side
    2,680.16x = 9,136,829.47
  5. Step 5: Solve for x
    x = 9,136,829.47/2,680.16
  6. Step 6: Final answer
    x = 3,409.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.