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Finding the Fourth Proportional to 2,257.95, 3,115.76 and 1,361.55

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Solution

The fourth proportional to 2,257.95, 3,115.76 and 1,361.55 is: 1,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.95 : 3,115.76 = 1,361.55 : x
  2. Step 2: Convert to fraction form
    2,257.95/3,115.76 = 1,361.55/x
  3. Step 3: Cross multiply
    2,257.95x = 3,115.76 × 1,361.55
  4. Step 4: Simplify right side
    2,257.95x = 4,242,263.03
  5. Step 5: Solve for x
    x = 4,242,263.03/2,257.95
  6. Step 6: Final answer
    x = 1,878.81

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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.