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Finding the Fourth Proportional to 1,517.40, 2,276.06 and 695.43

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Solution

The fourth proportional to 1,517.40, 2,276.06 and 695.43 is: 1,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.40 : 2,276.06 = 695.43 : x
  2. Step 2: Convert to fraction form
    1,517.40/2,276.06 = 695.43/x
  3. Step 3: Cross multiply
    1,517.40x = 2,276.06 × 695.43
  4. Step 4: Simplify right side
    1,517.40x = 1,582,836.93
  5. Step 5: Solve for x
    x = 1,582,836.93/1,517.40
  6. Step 6: Final answer
    x = 1,043.12

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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.