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Finding the Fourth Proportional to 2,768.16, 4,150.32 and 1,470.54

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Solution

The fourth proportional to 2,768.16, 4,150.32 and 1,470.54 is: 2,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.16 : 4,150.32 = 1,470.54 : x
  2. Step 2: Convert to fraction form
    2,768.16/4,150.32 = 1,470.54/x
  3. Step 3: Cross multiply
    2,768.16x = 4,150.32 × 1,470.54
  4. Step 4: Simplify right side
    2,768.16x = 6,103,211.57
  5. Step 5: Solve for x
    x = 6,103,211.57/2,768.16
  6. Step 6: Final answer
    x = 2,204.79

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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.