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Finding the Fourth Proportional to 2,742.14, 4,113.61 and 867.40

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Solution

The fourth proportional to 2,742.14, 4,113.61 and 867.40 is: 1,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.14 : 4,113.61 = 867.40 : x
  2. Step 2: Convert to fraction form
    2,742.14/4,113.61 = 867.40/x
  3. Step 3: Cross multiply
    2,742.14x = 4,113.61 × 867.40
  4. Step 4: Simplify right side
    2,742.14x = 3,568,145.31
  5. Step 5: Solve for x
    x = 3,568,145.31/2,742.14
  6. Step 6: Final answer
    x = 1,301.23

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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.