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Finding the Fourth Proportional to 2,742.65, 4,114.37 and 867.90

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Solution

The fourth proportional to 2,742.65, 4,114.37 and 867.90 is: 1,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.65 : 4,114.37 = 867.90 : x
  2. Step 2: Convert to fraction form
    2,742.65/4,114.37 = 867.90/x
  3. Step 3: Cross multiply
    2,742.65x = 4,114.37 × 867.90
  4. Step 4: Simplify right side
    2,742.65x = 3,570,857.38
  5. Step 5: Solve for x
    x = 3,570,857.38/2,742.65
  6. Step 6: Final answer
    x = 1,301.98

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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.