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Finding the Fourth Proportional to 1,426.55, 2,139.35 and 767.48

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Solution

The fourth proportional to 1,426.55, 2,139.35 and 767.48 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.55 : 2,139.35 = 767.48 : x
  2. Step 2: Convert to fraction form
    1,426.55/2,139.35 = 767.48/x
  3. Step 3: Cross multiply
    1,426.55x = 2,139.35 × 767.48
  4. Step 4: Simplify right side
    1,426.55x = 1,641,893.80
  5. Step 5: Solve for x
    x = 1,641,893.80/1,426.55
  6. Step 6: Final answer
    x = 1,150.96

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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.