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Finding the Fourth Proportional to 2,473.78, 3,413.24 and 1,478.88

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Solution

The fourth proportional to 2,473.78, 3,413.24 and 1,478.88 is: 2,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.78 : 3,413.24 = 1,478.88 : x
  2. Step 2: Convert to fraction form
    2,473.78/3,413.24 = 1,478.88/x
  3. Step 3: Cross multiply
    2,473.78x = 3,413.24 × 1,478.88
  4. Step 4: Simplify right side
    2,473.78x = 5,047,772.37
  5. Step 5: Solve for x
    x = 5,047,772.37/2,473.78
  6. Step 6: Final answer
    x = 2,040.51

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1.5x scale

Why These Related Problems?

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