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Finding the Fourth Proportional to 2,350.81, 3,526.82 and 1,254.88

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Solution

The fourth proportional to 2,350.81, 3,526.82 and 1,254.88 is: 1,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.81 : 3,526.82 = 1,254.88 : x
  2. Step 2: Convert to fraction form
    2,350.81/3,526.82 = 1,254.88/x
  3. Step 3: Cross multiply
    2,350.81x = 3,526.82 × 1,254.88
  4. Step 4: Simplify right side
    2,350.81x = 4,425,711.97
  5. Step 5: Solve for x
    x = 4,425,711.97/2,350.81
  6. Step 6: Final answer
    x = 1,882.64

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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.