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Finding the Fourth Proportional to 1,841.48, 2,540.36 and 1,770.78

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Solution

The fourth proportional to 1,841.48, 2,540.36 and 1,770.78 is: 2,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.48 : 2,540.36 = 1,770.78 : x
  2. Step 2: Convert to fraction form
    1,841.48/2,540.36 = 1,770.78/x
  3. Step 3: Cross multiply
    1,841.48x = 2,540.36 × 1,770.78
  4. Step 4: Simplify right side
    1,841.48x = 4,498,409.83
  5. Step 5: Solve for x
    x = 4,498,409.83/1,841.48
  6. Step 6: Final answer
    x = 2,442.83

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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.