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Finding the Fourth Proportional to 2,614.64, 3,918.12 and 2,535.80

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Solution

The fourth proportional to 2,614.64, 3,918.12 and 2,535.80 is: 3,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.64 : 3,918.12 = 2,535.80 : x
  2. Step 2: Convert to fraction form
    2,614.64/3,918.12 = 2,535.80/x
  3. Step 3: Cross multiply
    2,614.64x = 3,918.12 × 2,535.80
  4. Step 4: Simplify right side
    2,614.64x = 9,935,568.70
  5. Step 5: Solve for x
    x = 9,935,568.70/2,614.64
  6. Step 6: Final answer
    x = 3,799.98

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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.