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Finding the Fourth Proportional to 1,426.55, 2,140.43 and 502.61

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Solution

The fourth proportional to 1,426.55, 2,140.43 and 502.61 is: 754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.55 : 2,140.43 = 502.61 : x
  2. Step 2: Convert to fraction form
    1,426.55/2,140.43 = 502.61/x
  3. Step 3: Cross multiply
    1,426.55x = 2,140.43 × 502.61
  4. Step 4: Simplify right side
    1,426.55x = 1,075,788.31
  5. Step 5: Solve for x
    x = 1,075,788.31/1,426.55
  6. Step 6: Final answer
    x = 754.12

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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.