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Finding the Fourth Proportional to 1,517.21, 2,275.80 and 867.48

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Solution

The fourth proportional to 1,517.21, 2,275.80 and 867.48 is: 1,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.21 : 2,275.80 = 867.48 : x
  2. Step 2: Convert to fraction form
    1,517.21/2,275.80 = 867.48/x
  3. Step 3: Cross multiply
    1,517.21x = 2,275.80 × 867.48
  4. Step 4: Simplify right side
    1,517.21x = 1,974,210.98
  5. Step 5: Solve for x
    x = 1,974,210.98/1,517.21
  6. Step 6: Final answer
    x = 1,301.22

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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.