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Finding the Fourth Proportional to 1,426.23, 2,139.84 and 593.74

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Solution

The fourth proportional to 1,426.23, 2,139.84 and 593.74 is: 890.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.23 : 2,139.84 = 593.74 : x
  2. Step 2: Convert to fraction form
    1,426.23/2,139.84 = 593.74/x
  3. Step 3: Cross multiply
    1,426.23x = 2,139.84 × 593.74
  4. Step 4: Simplify right side
    1,426.23x = 1,270,503.25
  5. Step 5: Solve for x
    x = 1,270,503.25/1,426.23
  6. Step 6: Final answer
    x = 890.81

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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.