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Finding the Fourth Proportional to 2,770.40, 4,155.98 and 895.66

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Solution

The fourth proportional to 2,770.40, 4,155.98 and 895.66 is: 1,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.40 : 4,155.98 = 895.66 : x
  2. Step 2: Convert to fraction form
    2,770.40/4,155.98 = 895.66/x
  3. Step 3: Cross multiply
    2,770.40x = 4,155.98 × 895.66
  4. Step 4: Simplify right side
    2,770.40x = 3,722,330.18
  5. Step 5: Solve for x
    x = 3,722,330.18/2,770.40
  6. Step 6: Final answer
    x = 1,343.61

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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.