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Finding the Fourth Proportional to 2,473.28, 3,413.09 and 1,478.00

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Solution

The fourth proportional to 2,473.28, 3,413.09 and 1,478.00 is: 2,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.28 : 3,413.09 = 1,478.00 : x
  2. Step 2: Convert to fraction form
    2,473.28/3,413.09 = 1,478.00/x
  3. Step 3: Cross multiply
    2,473.28x = 3,413.09 × 1,478.00
  4. Step 4: Simplify right side
    2,473.28x = 5,044,531.74
  5. Step 5: Solve for x
    x = 5,044,531.74/2,473.28
  6. Step 6: Final answer
    x = 2,039.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.