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Finding the Fourth Proportional to 2,324.70, 3,485.85 and 863.10

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Solution

The fourth proportional to 2,324.70, 3,485.85 and 863.10 is: 1,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.70 : 3,485.85 = 863.10 : x
  2. Step 2: Convert to fraction form
    2,324.70/3,485.85 = 863.10/x
  3. Step 3: Cross multiply
    2,324.70x = 3,485.85 × 863.10
  4. Step 4: Simplify right side
    2,324.70x = 3,008,637.14
  5. Step 5: Solve for x
    x = 3,008,637.14/2,324.70
  6. Step 6: Final answer
    x = 1,294.20

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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.