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Finding the Fourth Proportional to 2,118.80, 3,178.20 and 1,602.43

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Solution

The fourth proportional to 2,118.80, 3,178.20 and 1,602.43 is: 2,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.80 : 3,178.20 = 1,602.43 : x
  2. Step 2: Convert to fraction form
    2,118.80/3,178.20 = 1,602.43/x
  3. Step 3: Cross multiply
    2,118.80x = 3,178.20 × 1,602.43
  4. Step 4: Simplify right side
    2,118.80x = 5,092,843.03
  5. Step 5: Solve for x
    x = 5,092,843.03/2,118.80
  6. Step 6: Final answer
    x = 2,403.65

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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.