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Finding the Fourth Proportional to 1,447.34, 1,997.61 and 1,131.98

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Solution

The fourth proportional to 1,447.34, 1,997.61 and 1,131.98 is: 1,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.34 : 1,997.61 = 1,131.98 : x
  2. Step 2: Convert to fraction form
    1,447.34/1,997.61 = 1,131.98/x
  3. Step 3: Cross multiply
    1,447.34x = 1,997.61 × 1,131.98
  4. Step 4: Simplify right side
    1,447.34x = 2,261,254.57
  5. Step 5: Solve for x
    x = 2,261,254.57/1,447.34
  6. Step 6: Final answer
    x = 1,562.35

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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.