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Finding the Fourth Proportional to 1,456.89, 2,184.02 and 726.69

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Solution

The fourth proportional to 1,456.89, 2,184.02 and 726.69 is: 1,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.89 : 2,184.02 = 726.69 : x
  2. Step 2: Convert to fraction form
    1,456.89/2,184.02 = 726.69/x
  3. Step 3: Cross multiply
    1,456.89x = 2,184.02 × 726.69
  4. Step 4: Simplify right side
    1,456.89x = 1,587,101.86
  5. Step 5: Solve for x
    x = 1,587,101.86/1,456.89
  6. Step 6: Final answer
    x = 1,089.38

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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.