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Finding the Fourth Proportional to 2,012.40, 2,780.18 and 1,609.49

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Solution

The fourth proportional to 2,012.40, 2,780.18 and 1,609.49 is: 2,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.40 : 2,780.18 = 1,609.49 : x
  2. Step 2: Convert to fraction form
    2,012.40/2,780.18 = 1,609.49/x
  3. Step 3: Cross multiply
    2,012.40x = 2,780.18 × 1,609.49
  4. Step 4: Simplify right side
    2,012.40x = 4,474,649.96
  5. Step 5: Solve for x
    x = 4,474,649.96/2,012.40
  6. Step 6: Final answer
    x = 2,223.54

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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.