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Finding the Fourth Proportional to 2,562.58, 3,843.45 and 918.82

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Solution

The fourth proportional to 2,562.58, 3,843.45 and 918.82 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.58 : 3,843.45 = 918.82 : x
  2. Step 2: Convert to fraction form
    2,562.58/3,843.45 = 918.82/x
  3. Step 3: Cross multiply
    2,562.58x = 3,843.45 × 918.82
  4. Step 4: Simplify right side
    2,562.58x = 3,531,438.73
  5. Step 5: Solve for x
    x = 3,531,438.73/2,562.58
  6. Step 6: Final answer
    x = 1,378.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.