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Finding the Fourth Proportional to 2,170.48, 2,994.53 and 1,413.92

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Solution

The fourth proportional to 2,170.48, 2,994.53 and 1,413.92 is: 1,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.48 : 2,994.53 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    2,170.48/2,994.53 = 1,413.92/x
  3. Step 3: Cross multiply
    2,170.48x = 2,994.53 × 1,413.92
  4. Step 4: Simplify right side
    2,170.48x = 4,234,025.86
  5. Step 5: Solve for x
    x = 4,234,025.86/2,170.48
  6. Step 6: Final answer
    x = 1,950.73

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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.