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Finding the Fourth Proportional to 1,681.47, 2,527.92 and 1,339.11

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Solution

The fourth proportional to 1,681.47, 2,527.92 and 1,339.11 is: 2,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.47 : 2,527.92 = 1,339.11 : x
  2. Step 2: Convert to fraction form
    1,681.47/2,527.92 = 1,339.11/x
  3. Step 3: Cross multiply
    1,681.47x = 2,527.92 × 1,339.11
  4. Step 4: Simplify right side
    1,681.47x = 3,385,162.95
  5. Step 5: Solve for x
    x = 3,385,162.95/1,681.47
  6. Step 6: Final answer
    x = 2,013.22

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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.