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Finding the Fourth Proportional to 2,321.32, 3,473.70 and 2,016.76

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Solution

The fourth proportional to 2,321.32, 3,473.70 and 2,016.76 is: 3,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.32 : 3,473.70 = 2,016.76 : x
  2. Step 2: Convert to fraction form
    2,321.32/3,473.70 = 2,016.76/x
  3. Step 3: Cross multiply
    2,321.32x = 3,473.70 × 2,016.76
  4. Step 4: Simplify right side
    2,321.32x = 7,005,619.21
  5. Step 5: Solve for x
    x = 7,005,619.21/2,321.32
  6. Step 6: Final answer
    x = 3,017.95

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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.