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Finding the Fourth Proportional to 2,265.54, 3,126.46 and 1,270.82

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Solution

The fourth proportional to 2,265.54, 3,126.46 and 1,270.82 is: 1,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.54 : 3,126.46 = 1,270.82 : x
  2. Step 2: Convert to fraction form
    2,265.54/3,126.46 = 1,270.82/x
  3. Step 3: Cross multiply
    2,265.54x = 3,126.46 × 1,270.82
  4. Step 4: Simplify right side
    2,265.54x = 3,973,171.34
  5. Step 5: Solve for x
    x = 3,973,171.34/2,265.54
  6. Step 6: Final answer
    x = 1,753.74

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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.