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Finding the Fourth Proportional to 1,426.78, 2,140.85 and 695.96

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Solution

The fourth proportional to 1,426.78, 2,140.85 and 695.96 is: 1,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.78 : 2,140.85 = 695.96 : x
  2. Step 2: Convert to fraction form
    1,426.78/2,140.85 = 695.96/x
  3. Step 3: Cross multiply
    1,426.78x = 2,140.85 × 695.96
  4. Step 4: Simplify right side
    1,426.78x = 1,489,945.03
  5. Step 5: Solve for x
    x = 1,489,945.03/1,426.78
  6. Step 6: Final answer
    x = 1,044.27

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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.