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Finding the Fourth Proportional to 1,425.31, 1,966.26 and 927.77

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Solution

The fourth proportional to 1,425.31, 1,966.26 and 927.77 is: 1,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.31 : 1,966.26 = 927.77 : x
  2. Step 2: Convert to fraction form
    1,425.31/1,966.26 = 927.77/x
  3. Step 3: Cross multiply
    1,425.31x = 1,966.26 × 927.77
  4. Step 4: Simplify right side
    1,425.31x = 1,824,236.53
  5. Step 5: Solve for x
    x = 1,824,236.53/1,425.31
  6. Step 6: Final answer
    x = 1,279.88

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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.