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Finding the Fourth Proportional to 1,451.56, 1,997.22 and 1,254.76

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Solution

The fourth proportional to 1,451.56, 1,997.22 and 1,254.76 is: 1,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.56 : 1,997.22 = 1,254.76 : x
  2. Step 2: Convert to fraction form
    1,451.56/1,997.22 = 1,254.76/x
  3. Step 3: Cross multiply
    1,451.56x = 1,997.22 × 1,254.76
  4. Step 4: Simplify right side
    1,451.56x = 2,506,031.77
  5. Step 5: Solve for x
    x = 2,506,031.77/1,451.56
  6. Step 6: Final answer
    x = 1,726.44

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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.