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Finding the Fourth Proportional to 2,741.32, 4,114.14 and 1,281.16

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Solution

The fourth proportional to 2,741.32, 4,114.14 and 1,281.16 is: 1,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.32 : 4,114.14 = 1,281.16 : x
  2. Step 2: Convert to fraction form
    2,741.32/4,114.14 = 1,281.16/x
  3. Step 3: Cross multiply
    2,741.32x = 4,114.14 × 1,281.16
  4. Step 4: Simplify right side
    2,741.32x = 5,270,871.60
  5. Step 5: Solve for x
    x = 5,270,871.60/2,741.32
  6. Step 6: Final answer
    x = 1,922.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.