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Finding the Fourth Proportional to 2,780.46, 4,169.34 and 1,049.22

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Solution

The fourth proportional to 2,780.46, 4,169.34 and 1,049.22 is: 1,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.46 : 4,169.34 = 1,049.22 : x
  2. Step 2: Convert to fraction form
    2,780.46/4,169.34 = 1,049.22/x
  3. Step 3: Cross multiply
    2,780.46x = 4,169.34 × 1,049.22
  4. Step 4: Simplify right side
    2,780.46x = 4,374,554.91
  5. Step 5: Solve for x
    x = 4,374,554.91/2,780.46
  6. Step 6: Final answer
    x = 1,573.32

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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.