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Finding the Fourth Proportional to 2,472.03, 3,707.44 and 828.15

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Solution

The fourth proportional to 2,472.03, 3,707.44 and 828.15 is: 1,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.03 : 3,707.44 = 828.15 : x
  2. Step 2: Convert to fraction form
    2,472.03/3,707.44 = 828.15/x
  3. Step 3: Cross multiply
    2,472.03x = 3,707.44 × 828.15
  4. Step 4: Simplify right side
    2,472.03x = 3,070,316.44
  5. Step 5: Solve for x
    x = 3,070,316.44/2,472.03
  6. Step 6: Final answer
    x = 1,242.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.