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Finding the Fourth Proportional to 2,261.52, 3,120.74 and 1,266.63

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Solution

The fourth proportional to 2,261.52, 3,120.74 and 1,266.63 is: 1,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.52 : 3,120.74 = 1,266.63 : x
  2. Step 2: Convert to fraction form
    2,261.52/3,120.74 = 1,266.63/x
  3. Step 3: Cross multiply
    2,261.52x = 3,120.74 × 1,266.63
  4. Step 4: Simplify right side
    2,261.52x = 3,952,822.91
  5. Step 5: Solve for x
    x = 3,952,822.91/2,261.52
  6. Step 6: Final answer
    x = 1,747.86

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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.