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Finding the Fourth Proportional to 1,426.76, 2,140.12 and 845.79

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Solution

The fourth proportional to 1,426.76, 2,140.12 and 845.79 is: 1,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.76 : 2,140.12 = 845.79 : x
  2. Step 2: Convert to fraction form
    1,426.76/2,140.12 = 845.79/x
  3. Step 3: Cross multiply
    1,426.76x = 2,140.12 × 845.79
  4. Step 4: Simplify right side
    1,426.76x = 1,810,092.09
  5. Step 5: Solve for x
    x = 1,810,092.09/1,426.76
  6. Step 6: Final answer
    x = 1,268.67

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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.