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Finding the Fourth Proportional to 2,780.19, 4,169.61 and 805.41

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Solution

The fourth proportional to 2,780.19, 4,169.61 and 805.41 is: 1,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.19 : 4,169.61 = 805.41 : x
  2. Step 2: Convert to fraction form
    2,780.19/4,169.61 = 805.41/x
  3. Step 3: Cross multiply
    2,780.19x = 4,169.61 × 805.41
  4. Step 4: Simplify right side
    2,780.19x = 3,358,245.59
  5. Step 5: Solve for x
    x = 3,358,245.59/2,780.19
  6. Step 6: Final answer
    x = 1,207.92

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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.