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Finding the Fourth Proportional to 1,766.32, 2,649.38 and 726.05

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Solution

The fourth proportional to 1,766.32, 2,649.38 and 726.05 is: 1,089.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.32 : 2,649.38 = 726.05 : x
  2. Step 2: Convert to fraction form
    1,766.32/2,649.38 = 726.05/x
  3. Step 3: Cross multiply
    1,766.32x = 2,649.38 × 726.05
  4. Step 4: Simplify right side
    1,766.32x = 1,923,585.34
  5. Step 5: Solve for x
    x = 1,923,585.34/1,766.32
  6. Step 6: Final answer
    x = 1,089.04

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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.