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Finding the Fourth Proportional to 2,578.35, 3,550.95 and 2,104.05

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Solution

The fourth proportional to 2,578.35, 3,550.95 and 2,104.05 is: 2,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.35 : 3,550.95 = 2,104.05 : x
  2. Step 2: Convert to fraction form
    2,578.35/3,550.95 = 2,104.05/x
  3. Step 3: Cross multiply
    2,578.35x = 3,550.95 × 2,104.05
  4. Step 4: Simplify right side
    2,578.35x = 7,471,376.35
  5. Step 5: Solve for x
    x = 7,471,376.35/2,578.35
  6. Step 6: Final answer
    x = 2,897.74

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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.