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Finding the Fourth Proportional to 2,472.16, 3,708.24 and 828.24

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Solution

The fourth proportional to 2,472.16, 3,708.24 and 828.24 is: 1,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.16 : 3,708.24 = 828.24 : x
  2. Step 2: Convert to fraction form
    2,472.16/3,708.24 = 828.24/x
  3. Step 3: Cross multiply
    2,472.16x = 3,708.24 × 828.24
  4. Step 4: Simplify right side
    2,472.16x = 3,071,312.70
  5. Step 5: Solve for x
    x = 3,071,312.70/2,472.16
  6. Step 6: Final answer
    x = 1,242.36

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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.