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Finding the Fourth Proportional to 2,315.20, 3,472.80 and 2,084.80

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Solution

The fourth proportional to 2,315.20, 3,472.80 and 2,084.80 is: 3,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.20 : 3,472.80 = 2,084.80 : x
  2. Step 2: Convert to fraction form
    2,315.20/3,472.80 = 2,084.80/x
  3. Step 3: Cross multiply
    2,315.20x = 3,472.80 × 2,084.80
  4. Step 4: Simplify right side
    2,315.20x = 7,240,093.44
  5. Step 5: Solve for x
    x = 7,240,093.44/2,315.20
  6. Step 6: Final answer
    x = 3,127.20

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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.