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Finding the Fourth Proportional to 1,686.14, 2,527.02 and 863.72

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Solution

The fourth proportional to 1,686.14, 2,527.02 and 863.72 is: 1,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.14 : 2,527.02 = 863.72 : x
  2. Step 2: Convert to fraction form
    1,686.14/2,527.02 = 863.72/x
  3. Step 3: Cross multiply
    1,686.14x = 2,527.02 × 863.72
  4. Step 4: Simplify right side
    1,686.14x = 2,182,637.71
  5. Step 5: Solve for x
    x = 2,182,637.71/1,686.14
  6. Step 6: Final answer
    x = 1,294.46

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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.