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Finding the Fourth Proportional to 2,267.74, 3,128.70 and 1,272.88

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Solution

The fourth proportional to 2,267.74, 3,128.70 and 1,272.88 is: 1,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.74 : 3,128.70 = 1,272.88 : x
  2. Step 2: Convert to fraction form
    2,267.74/3,128.70 = 1,272.88/x
  3. Step 3: Cross multiply
    2,267.74x = 3,128.70 × 1,272.88
  4. Step 4: Simplify right side
    2,267.74x = 3,982,459.66
  5. Step 5: Solve for x
    x = 3,982,459.66/2,267.74
  6. Step 6: Final answer
    x = 1,756.14

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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.