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Finding the Fourth Proportional to 2,470.86, 3,413.12 and 1,977.03

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Solution

The fourth proportional to 2,470.86, 3,413.12 and 1,977.03 is: 2,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.86 : 3,413.12 = 1,977.03 : x
  2. Step 2: Convert to fraction form
    2,470.86/3,413.12 = 1,977.03/x
  3. Step 3: Cross multiply
    2,470.86x = 3,413.12 × 1,977.03
  4. Step 4: Simplify right side
    2,470.86x = 6,747,830.75
  5. Step 5: Solve for x
    x = 6,747,830.75/2,470.86
  6. Step 6: Final answer
    x = 2,730.96

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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.