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Finding the Fourth Proportional to 1,456.41, 2,186.12 and 726.52

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Solution

The fourth proportional to 1,456.41, 2,186.12 and 726.52 is: 1,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.41 : 2,186.12 = 726.52 : x
  2. Step 2: Convert to fraction form
    1,456.41/2,186.12 = 726.52/x
  3. Step 3: Cross multiply
    1,456.41x = 2,186.12 × 726.52
  4. Step 4: Simplify right side
    1,456.41x = 1,588,259.90
  5. Step 5: Solve for x
    x = 1,588,259.90/1,456.41
  6. Step 6: Final answer
    x = 1,090.53

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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.