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Finding the Fourth Proportional to 2,770.66, 4,155.72 and 1,382.86

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Solution

The fourth proportional to 2,770.66, 4,155.72 and 1,382.86 is: 2,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.66 : 4,155.72 = 1,382.86 : x
  2. Step 2: Convert to fraction form
    2,770.66/4,155.72 = 1,382.86/x
  3. Step 3: Cross multiply
    2,770.66x = 4,155.72 × 1,382.86
  4. Step 4: Simplify right side
    2,770.66x = 5,746,778.96
  5. Step 5: Solve for x
    x = 5,746,778.96/2,770.66
  6. Step 6: Final answer
    x = 2,074.16

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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.