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Finding the Fourth Proportional to 2,297.20, 3,445.20 and 653.56

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Solution

The fourth proportional to 2,297.20, 3,445.20 and 653.56 is: 980.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.20 : 3,445.20 = 653.56 : x
  2. Step 2: Convert to fraction form
    2,297.20/3,445.20 = 653.56/x
  3. Step 3: Cross multiply
    2,297.20x = 3,445.20 × 653.56
  4. Step 4: Simplify right side
    2,297.20x = 2,251,644.91
  5. Step 5: Solve for x
    x = 2,251,644.91/2,297.20
  6. Step 6: Final answer
    x = 980.17

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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.