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Finding the Fourth Proportional to 1,426.16, 2,140.02 and 810.56

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Solution

The fourth proportional to 1,426.16, 2,140.02 and 810.56 is: 1,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.16 : 2,140.02 = 810.56 : x
  2. Step 2: Convert to fraction form
    1,426.16/2,140.02 = 810.56/x
  3. Step 3: Cross multiply
    1,426.16x = 2,140.02 × 810.56
  4. Step 4: Simplify right side
    1,426.16x = 1,734,614.61
  5. Step 5: Solve for x
    x = 1,734,614.61/1,426.16
  6. Step 6: Final answer
    x = 1,216.28

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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.