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Finding the Fourth Proportional to 1,841.78, 2,540.96 and 1,178.52

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Solution

The fourth proportional to 1,841.78, 2,540.96 and 1,178.52 is: 1,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.78 : 2,540.96 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    1,841.78/2,540.96 = 1,178.52/x
  3. Step 3: Cross multiply
    1,841.78x = 2,540.96 × 1,178.52
  4. Step 4: Simplify right side
    1,841.78x = 2,994,572.18
  5. Step 5: Solve for x
    x = 2,994,572.18/1,841.78
  6. Step 6: Final answer
    x = 1,625.91

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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.