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Finding the Fourth Proportional to 3,178.98, 4,387 and 1,853.60

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Solution

The fourth proportional to 3,178.98, 4,387 and 1,853.60 is: 2,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.98 : 4,387 = 1,853.60 : x
  2. Step 2: Convert to fraction form
    3,178.98/4,387 = 1,853.60/x
  3. Step 3: Cross multiply
    3,178.98x = 4,387 × 1,853.60
  4. Step 4: Simplify right side
    3,178.98x = 8,131,743.20
  5. Step 5: Solve for x
    x = 8,131,743.20/3,178.98
  6. Step 6: Final answer
    x = 2,557.97

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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.