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Finding the Fourth Proportional to 2,242.04, 3,363.24 and 682.18

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Solution

The fourth proportional to 2,242.04, 3,363.24 and 682.18 is: 1,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.04 : 3,363.24 = 682.18 : x
  2. Step 2: Convert to fraction form
    2,242.04/3,363.24 = 682.18/x
  3. Step 3: Cross multiply
    2,242.04x = 3,363.24 × 682.18
  4. Step 4: Simplify right side
    2,242.04x = 2,294,335.06
  5. Step 5: Solve for x
    x = 2,294,335.06/2,242.04
  6. Step 6: Final answer
    x = 1,023.32

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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.