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Finding the Fourth Proportional to 2,472.24, 3,707.12 and 828.24

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Solution

The fourth proportional to 2,472.24, 3,707.12 and 828.24 is: 1,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.24 : 3,707.12 = 828.24 : x
  2. Step 2: Convert to fraction form
    2,472.24/3,707.12 = 828.24/x
  3. Step 3: Cross multiply
    2,472.24x = 3,707.12 × 828.24
  4. Step 4: Simplify right side
    2,472.24x = 3,070,385.07
  5. Step 5: Solve for x
    x = 3,070,385.07/2,472.24
  6. Step 6: Final answer
    x = 1,241.94

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1.5x scale

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.