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Finding the Fourth Proportional to 2,255.87, 3,113.06 and 1,261.25

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Solution

The fourth proportional to 2,255.87, 3,113.06 and 1,261.25 is: 1,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.87 : 3,113.06 = 1,261.25 : x
  2. Step 2: Convert to fraction form
    2,255.87/3,113.06 = 1,261.25/x
  3. Step 3: Cross multiply
    2,255.87x = 3,113.06 × 1,261.25
  4. Step 4: Simplify right side
    2,255.87x = 3,926,325.05
  5. Step 5: Solve for x
    x = 3,926,325.05/2,255.87
  6. Step 6: Final answer
    x = 1,740.49

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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.