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Finding the Fourth Proportional to 1,843.60, 2,555.80 and 1,744.96

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Solution

The fourth proportional to 1,843.60, 2,555.80 and 1,744.96 is: 2,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.60 : 2,555.80 = 1,744.96 : x
  2. Step 2: Convert to fraction form
    1,843.60/2,555.80 = 1,744.96/x
  3. Step 3: Cross multiply
    1,843.60x = 2,555.80 × 1,744.96
  4. Step 4: Simplify right side
    1,843.60x = 4,459,768.77
  5. Step 5: Solve for x
    x = 4,459,768.77/1,843.60
  6. Step 6: Final answer
    x = 2,419.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.