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Finding the Fourth Proportional to 2,320.72, 3,481.08 and 565.72

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Solution

The fourth proportional to 2,320.72, 3,481.08 and 565.72 is: 848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.72 : 3,481.08 = 565.72 : x
  2. Step 2: Convert to fraction form
    2,320.72/3,481.08 = 565.72/x
  3. Step 3: Cross multiply
    2,320.72x = 3,481.08 × 565.72
  4. Step 4: Simplify right side
    2,320.72x = 1,969,305.75
  5. Step 5: Solve for x
    x = 1,969,305.75/2,320.72
  6. Step 6: Final answer
    x = 848.58

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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.