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Finding the Fourth Proportional to 1,609.98, 2,230.85 and 1,575.42

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Solution

The fourth proportional to 1,609.98, 2,230.85 and 1,575.42 is: 2,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.98 : 2,230.85 = 1,575.42 : x
  2. Step 2: Convert to fraction form
    1,609.98/2,230.85 = 1,575.42/x
  3. Step 3: Cross multiply
    1,609.98x = 2,230.85 × 1,575.42
  4. Step 4: Simplify right side
    1,609.98x = 3,514,517.83
  5. Step 5: Solve for x
    x = 3,514,517.83/1,609.98
  6. Step 6: Final answer
    x = 2,182.96

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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.