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Finding the Fourth Proportional to 2,470.86, 3,704.67 and 804.78

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Solution

The fourth proportional to 2,470.86, 3,704.67 and 804.78 is: 1,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.86 : 3,704.67 = 804.78 : x
  2. Step 2: Convert to fraction form
    2,470.86/3,704.67 = 804.78/x
  3. Step 3: Cross multiply
    2,470.86x = 3,704.67 × 804.78
  4. Step 4: Simplify right side
    2,470.86x = 2,981,444.32
  5. Step 5: Solve for x
    x = 2,981,444.32/2,470.86
  6. Step 6: Final answer
    x = 1,206.64

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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.