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Finding the Fourth Proportional to 1,426.71, 2,140.77 and 801.62

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Solution

The fourth proportional to 1,426.71, 2,140.77 and 801.62 is: 1,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.71 : 2,140.77 = 801.62 : x
  2. Step 2: Convert to fraction form
    1,426.71/2,140.77 = 801.62/x
  3. Step 3: Cross multiply
    1,426.71x = 2,140.77 × 801.62
  4. Step 4: Simplify right side
    1,426.71x = 1,716,084.05
  5. Step 5: Solve for x
    x = 1,716,084.05/1,426.71
  6. Step 6: Final answer
    x = 1,202.83

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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.