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Finding the Fourth Proportional to 1,726.47, 2,380.73 and 1,136.25

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Solution

The fourth proportional to 1,726.47, 2,380.73 and 1,136.25 is: 1,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.47 : 2,380.73 = 1,136.25 : x
  2. Step 2: Convert to fraction form
    1,726.47/2,380.73 = 1,136.25/x
  3. Step 3: Cross multiply
    1,726.47x = 2,380.73 × 1,136.25
  4. Step 4: Simplify right side
    1,726.47x = 2,705,098.78
  5. Step 5: Solve for x
    x = 2,705,098.78/1,726.47
  6. Step 6: Final answer
    x = 1,566.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.