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Finding the Fourth Proportional to 2,119.86, 3,165.32 and 1,870.97

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Solution

The fourth proportional to 2,119.86, 3,165.32 and 1,870.97 is: 2,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.86 : 3,165.32 = 1,870.97 : x
  2. Step 2: Convert to fraction form
    2,119.86/3,165.32 = 1,870.97/x
  3. Step 3: Cross multiply
    2,119.86x = 3,165.32 × 1,870.97
  4. Step 4: Simplify right side
    2,119.86x = 5,922,207.61
  5. Step 5: Solve for x
    x = 5,922,207.61/2,119.86
  6. Step 6: Final answer
    x = 2,793.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.