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Finding the Fourth Proportional to 1,449.69, 2,000.89 and 1,134.33

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Solution

The fourth proportional to 1,449.69, 2,000.89 and 1,134.33 is: 1,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.69 : 2,000.89 = 1,134.33 : x
  2. Step 2: Convert to fraction form
    1,449.69/2,000.89 = 1,134.33/x
  3. Step 3: Cross multiply
    1,449.69x = 2,000.89 × 1,134.33
  4. Step 4: Simplify right side
    1,449.69x = 2,269,669.55
  5. Step 5: Solve for x
    x = 2,269,669.55/1,449.69
  6. Step 6: Final answer
    x = 1,565.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.