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Finding the Fourth Proportional to 1,426.14, 2,139.42 and 695.22

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Solution

The fourth proportional to 1,426.14, 2,139.42 and 695.22 is: 1,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.14 : 2,139.42 = 695.22 : x
  2. Step 2: Convert to fraction form
    1,426.14/2,139.42 = 695.22/x
  3. Step 3: Cross multiply
    1,426.14x = 2,139.42 × 695.22
  4. Step 4: Simplify right side
    1,426.14x = 1,487,367.57
  5. Step 5: Solve for x
    x = 1,487,367.57/1,426.14
  6. Step 6: Final answer
    x = 1,042.93

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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.