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Finding the Fourth Proportional to 2,717.10, 4,073.65 and 867.15

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Solution

The fourth proportional to 2,717.10, 4,073.65 and 867.15 is: 1,300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.10 : 4,073.65 = 867.15 : x
  2. Step 2: Convert to fraction form
    2,717.10/4,073.65 = 867.15/x
  3. Step 3: Cross multiply
    2,717.10x = 4,073.65 × 867.15
  4. Step 4: Simplify right side
    2,717.10x = 3,532,465.60
  5. Step 5: Solve for x
    x = 3,532,465.60/2,717.10
  6. Step 6: Final answer
    x = 1,300.09

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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.