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Finding the Fourth Proportional to 2,305.20, 3,114.48 and 2,305.20

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Solution

The fourth proportional to 2,305.20, 3,114.48 and 2,305.20 is: 3,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.20 : 3,114.48 = 2,305.20 : x
  2. Step 2: Convert to fraction form
    2,305.20/3,114.48 = 2,305.20/x
  3. Step 3: Cross multiply
    2,305.20x = 3,114.48 × 2,305.20
  4. Step 4: Simplify right side
    2,305.20x = 7,179,499.30
  5. Step 5: Solve for x
    x = 7,179,499.30/2,305.20
  6. Step 6: Final answer
    x = 3,114.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.