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Finding the Fourth Proportional to 2,267.49, 3,129.05 and 1,272.82

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Solution

The fourth proportional to 2,267.49, 3,129.05 and 1,272.82 is: 1,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.49 : 3,129.05 = 1,272.82 : x
  2. Step 2: Convert to fraction form
    2,267.49/3,129.05 = 1,272.82/x
  3. Step 3: Cross multiply
    2,267.49x = 3,129.05 × 1,272.82
  4. Step 4: Simplify right side
    2,267.49x = 3,982,717.42
  5. Step 5: Solve for x
    x = 3,982,717.42/2,267.49
  6. Step 6: Final answer
    x = 1,756.45

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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.