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Finding the Fourth Proportional to 2,473.86, 3,413.64 and 1,478.92

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Solution

The fourth proportional to 2,473.86, 3,413.64 and 1,478.92 is: 2,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.86 : 3,413.64 = 1,478.92 : x
  2. Step 2: Convert to fraction form
    2,473.86/3,413.64 = 1,478.92/x
  3. Step 3: Cross multiply
    2,473.86x = 3,413.64 × 1,478.92
  4. Step 4: Simplify right side
    2,473.86x = 5,048,500.47
  5. Step 5: Solve for x
    x = 5,048,500.47/2,473.86
  6. Step 6: Final answer
    x = 2,040.74

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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.