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Finding the Fourth Proportional to 1,426.94, 2,140.76 and 842.42

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Solution

The fourth proportional to 1,426.94, 2,140.76 and 842.42 is: 1,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.94 : 2,140.76 = 842.42 : x
  2. Step 2: Convert to fraction form
    1,426.94/2,140.76 = 842.42/x
  3. Step 3: Cross multiply
    1,426.94x = 2,140.76 × 842.42
  4. Step 4: Simplify right side
    1,426.94x = 1,803,404.12
  5. Step 5: Solve for x
    x = 1,803,404.12/1,426.94
  6. Step 6: Final answer
    x = 1,263.83

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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.