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Finding the Fourth Proportional to 2,470.20, 3,705.09 and 738.83

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Solution

The fourth proportional to 2,470.20, 3,705.09 and 738.83 is: 1,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.20 : 3,705.09 = 738.83 : x
  2. Step 2: Convert to fraction form
    2,470.20/3,705.09 = 738.83/x
  3. Step 3: Cross multiply
    2,470.20x = 3,705.09 × 738.83
  4. Step 4: Simplify right side
    2,470.20x = 2,737,413.12
  5. Step 5: Solve for x
    x = 2,737,413.12/2,470.20
  6. Step 6: Final answer
    x = 1,108.17

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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.