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Finding the Fourth Proportional to 2,255.81, 3,113.16 and 1,261.17

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Solution

The fourth proportional to 2,255.81, 3,113.16 and 1,261.17 is: 1,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.81 : 3,113.16 = 1,261.17 : x
  2. Step 2: Convert to fraction form
    2,255.81/3,113.16 = 1,261.17/x
  3. Step 3: Cross multiply
    2,255.81x = 3,113.16 × 1,261.17
  4. Step 4: Simplify right side
    2,255.81x = 3,926,202.13
  5. Step 5: Solve for x
    x = 3,926,202.13/2,255.81
  6. Step 6: Final answer
    x = 1,740.48

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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.