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Finding the Fourth Proportional to 2,255.93, 3,113.17 and 1,261.20

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Solution

The fourth proportional to 2,255.93, 3,113.17 and 1,261.20 is: 1,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.93 : 3,113.17 = 1,261.20 : x
  2. Step 2: Convert to fraction form
    2,255.93/3,113.17 = 1,261.20/x
  3. Step 3: Cross multiply
    2,255.93x = 3,113.17 × 1,261.20
  4. Step 4: Simplify right side
    2,255.93x = 3,926,326.85
  5. Step 5: Solve for x
    x = 3,926,326.85/2,255.93
  6. Step 6: Final answer
    x = 1,740.45

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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.