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Finding the Fourth Proportional to 2,472.20, 3,707.40 and 828.80

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Solution

The fourth proportional to 2,472.20, 3,707.40 and 828.80 is: 1,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.20 : 3,707.40 = 828.80 : x
  2. Step 2: Convert to fraction form
    2,472.20/3,707.40 = 828.80/x
  3. Step 3: Cross multiply
    2,472.20x = 3,707.40 × 828.80
  4. Step 4: Simplify right side
    2,472.20x = 3,072,693.12
  5. Step 5: Solve for x
    x = 3,072,693.12/2,472.20
  6. Step 6: Final answer
    x = 1,242.90

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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.