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Finding the Fourth Proportional to 2,215.06, 3,323.08 and 828.40

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Solution

The fourth proportional to 2,215.06, 3,323.08 and 828.40 is: 1,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.06 : 3,323.08 = 828.40 : x
  2. Step 2: Convert to fraction form
    2,215.06/3,323.08 = 828.40/x
  3. Step 3: Cross multiply
    2,215.06x = 3,323.08 × 828.40
  4. Step 4: Simplify right side
    2,215.06x = 2,752,839.47
  5. Step 5: Solve for x
    x = 2,752,839.47/2,215.06
  6. Step 6: Final answer
    x = 1,242.78

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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.