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Finding the Fourth Proportional to 1,426.23, 2,136.42 and 695.19

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Solution

The fourth proportional to 1,426.23, 2,136.42 and 695.19 is: 1,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.23 : 2,136.42 = 695.19 : x
  2. Step 2: Convert to fraction form
    1,426.23/2,136.42 = 695.19/x
  3. Step 3: Cross multiply
    1,426.23x = 2,136.42 × 695.19
  4. Step 4: Simplify right side
    1,426.23x = 1,485,217.82
  5. Step 5: Solve for x
    x = 1,485,217.82/1,426.23
  6. Step 6: Final answer
    x = 1,041.36

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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.