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Finding the Fourth Proportional to 2,242.40, 3,363.46 and 682.40

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Solution

The fourth proportional to 2,242.40, 3,363.46 and 682.40 is: 1,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.40 : 3,363.46 = 682.40 : x
  2. Step 2: Convert to fraction form
    2,242.40/3,363.46 = 682.40/x
  3. Step 3: Cross multiply
    2,242.40x = 3,363.46 × 682.40
  4. Step 4: Simplify right side
    2,242.40x = 2,295,225.10
  5. Step 5: Solve for x
    x = 2,295,225.10/2,242.40
  6. Step 6: Final answer
    x = 1,023.56

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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.