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Finding the Fourth Proportional to 2,605.79, 3,909.59 and 1,144.74

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Solution

The fourth proportional to 2,605.79, 3,909.59 and 1,144.74 is: 1,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.79 : 3,909.59 = 1,144.74 : x
  2. Step 2: Convert to fraction form
    2,605.79/3,909.59 = 1,144.74/x
  3. Step 3: Cross multiply
    2,605.79x = 3,909.59 × 1,144.74
  4. Step 4: Simplify right side
    2,605.79x = 4,475,458.33
  5. Step 5: Solve for x
    x = 4,475,458.33/2,605.79
  6. Step 6: Final answer
    x = 1,717.51

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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.