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Finding the Fourth Proportional to 2,578.06, 3,559.04 and 1,743.15

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Solution

The fourth proportional to 2,578.06, 3,559.04 and 1,743.15 is: 2,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.06 : 3,559.04 = 1,743.15 : x
  2. Step 2: Convert to fraction form
    2,578.06/3,559.04 = 1,743.15/x
  3. Step 3: Cross multiply
    2,578.06x = 3,559.04 × 1,743.15
  4. Step 4: Simplify right side
    2,578.06x = 6,203,951.74
  5. Step 5: Solve for x
    x = 6,203,951.74/2,578.06
  6. Step 6: Final answer
    x = 2,406.44

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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.