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Finding the Fourth Proportional to 2,116.86, 3,173.46 and 1,019.71

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Solution

The fourth proportional to 2,116.86, 3,173.46 and 1,019.71 is: 1,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.86 : 3,173.46 = 1,019.71 : x
  2. Step 2: Convert to fraction form
    2,116.86/3,173.46 = 1,019.71/x
  3. Step 3: Cross multiply
    2,116.86x = 3,173.46 × 1,019.71
  4. Step 4: Simplify right side
    2,116.86x = 3,236,008.90
  5. Step 5: Solve for x
    x = 3,236,008.90/2,116.86
  6. Step 6: Final answer
    x = 1,528.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.