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Finding the Fourth Proportional to 2,213.96, 3,319.78 and 653.76

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Solution

The fourth proportional to 2,213.96, 3,319.78 and 653.76 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.96 : 3,319.78 = 653.76 : x
  2. Step 2: Convert to fraction form
    2,213.96/3,319.78 = 653.76/x
  3. Step 3: Cross multiply
    2,213.96x = 3,319.78 × 653.76
  4. Step 4: Simplify right side
    2,213.96x = 2,170,337.74
  5. Step 5: Solve for x
    x = 2,170,337.74/2,213.96
  6. Step 6: Final answer
    x = 980.30

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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.