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Finding the Fourth Proportional to 2,265.46, 3,126.47 and 1,270.80

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Solution

The fourth proportional to 2,265.46, 3,126.47 and 1,270.80 is: 1,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.46 : 3,126.47 = 1,270.80 : x
  2. Step 2: Convert to fraction form
    2,265.46/3,126.47 = 1,270.80/x
  3. Step 3: Cross multiply
    2,265.46x = 3,126.47 × 1,270.80
  4. Step 4: Simplify right side
    2,265.46x = 3,973,123.64
  5. Step 5: Solve for x
    x = 3,973,123.64/2,265.46
  6. Step 6: Final answer
    x = 1,753.78

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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.