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Finding the Fourth Proportional to 2,320.32, 3,472.20 and 2,015.76

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Solution

The fourth proportional to 2,320.32, 3,472.20 and 2,015.76 is: 3,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.32 : 3,472.20 = 2,015.76 : x
  2. Step 2: Convert to fraction form
    2,320.32/3,472.20 = 2,015.76/x
  3. Step 3: Cross multiply
    2,320.32x = 3,472.20 × 2,015.76
  4. Step 4: Simplify right side
    2,320.32x = 6,999,121.87
  5. Step 5: Solve for x
    x = 6,999,121.87/2,320.32
  6. Step 6: Final answer
    x = 3,016.45

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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.