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Finding the Fourth Proportional to 1,766.42, 2,649.51 and 726.15

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Solution

The fourth proportional to 1,766.42, 2,649.51 and 726.15 is: 1,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.42 : 2,649.51 = 726.15 : x
  2. Step 2: Convert to fraction form
    1,766.42/2,649.51 = 726.15/x
  3. Step 3: Cross multiply
    1,766.42x = 2,649.51 × 726.15
  4. Step 4: Simplify right side
    1,766.42x = 1,923,941.69
  5. Step 5: Solve for x
    x = 1,923,941.69/1,766.42
  6. Step 6: Final answer
    x = 1,089.18

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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.