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Finding the Fourth Proportional to 2,871.58, 4,306.46 and 1,902.82

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Solution

The fourth proportional to 2,871.58, 4,306.46 and 1,902.82 is: 2,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.58 : 4,306.46 = 1,902.82 : x
  2. Step 2: Convert to fraction form
    2,871.58/4,306.46 = 1,902.82/x
  3. Step 3: Cross multiply
    2,871.58x = 4,306.46 × 1,902.82
  4. Step 4: Simplify right side
    2,871.58x = 8,194,418.22
  5. Step 5: Solve for x
    x = 8,194,418.22/2,871.58
  6. Step 6: Final answer
    x = 2,853.63

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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.