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Finding the Fourth Proportional to 1,686.39, 2,527.59 and 760.86

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Solution

The fourth proportional to 1,686.39, 2,527.59 and 760.86 is: 1,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.39 : 2,527.59 = 760.86 : x
  2. Step 2: Convert to fraction form
    1,686.39/2,527.59 = 760.86/x
  3. Step 3: Cross multiply
    1,686.39x = 2,527.59 × 760.86
  4. Step 4: Simplify right side
    1,686.39x = 1,923,129.49
  5. Step 5: Solve for x
    x = 1,923,129.49/1,686.39
  6. Step 6: Final answer
    x = 1,140.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.