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Finding the Fourth Proportional to 1,426.69, 2,138.87 and 635.47

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Solution

The fourth proportional to 1,426.69, 2,138.87 and 635.47 is: 952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.69 : 2,138.87 = 635.47 : x
  2. Step 2: Convert to fraction form
    1,426.69/2,138.87 = 635.47/x
  3. Step 3: Cross multiply
    1,426.69x = 2,138.87 × 635.47
  4. Step 4: Simplify right side
    1,426.69x = 1,359,187.72
  5. Step 5: Solve for x
    x = 1,359,187.72/1,426.69
  6. Step 6: Final answer
    x = 952.69

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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.