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Finding the Fourth Proportional to 1,426.92, 2,140.62 and 561.84

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Solution

The fourth proportional to 1,426.92, 2,140.62 and 561.84 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.92 : 2,140.62 = 561.84 : x
  2. Step 2: Convert to fraction form
    1,426.92/2,140.62 = 561.84/x
  3. Step 3: Cross multiply
    1,426.92x = 2,140.62 × 561.84
  4. Step 4: Simplify right side
    1,426.92x = 1,202,685.94
  5. Step 5: Solve for x
    x = 1,202,685.94/1,426.92
  6. Step 6: Final answer
    x = 842.85

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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.