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Finding the Fourth Proportional to 3,234.66, 4,465.65 and 2,116.74

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Solution

The fourth proportional to 3,234.66, 4,465.65 and 2,116.74 is: 2,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.66 : 4,465.65 = 2,116.74 : x
  2. Step 2: Convert to fraction form
    3,234.66/4,465.65 = 2,116.74/x
  3. Step 3: Cross multiply
    3,234.66x = 4,465.65 × 2,116.74
  4. Step 4: Simplify right side
    3,234.66x = 9,452,619.98
  5. Step 5: Solve for x
    x = 9,452,619.98/3,234.66
  6. Step 6: Final answer
    x = 2,922.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.