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Finding the Fourth Proportional to 1,686.20, 2,527.76 and 589.97

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Solution

The fourth proportional to 1,686.20, 2,527.76 and 589.97 is: 884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.20 : 2,527.76 = 589.97 : x
  2. Step 2: Convert to fraction form
    1,686.20/2,527.76 = 589.97/x
  3. Step 3: Cross multiply
    1,686.20x = 2,527.76 × 589.97
  4. Step 4: Simplify right side
    1,686.20x = 1,491,304.36
  5. Step 5: Solve for x
    x = 1,491,304.36/1,686.20
  6. Step 6: Final answer
    x = 884.42

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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.