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Finding the Fourth Proportional to 2,306.64, 3,182.64 and 2,227.60

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Solution

The fourth proportional to 2,306.64, 3,182.64 and 2,227.60 is: 3,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.64 : 3,182.64 = 2,227.60 : x
  2. Step 2: Convert to fraction form
    2,306.64/3,182.64 = 2,227.60/x
  3. Step 3: Cross multiply
    2,306.64x = 3,182.64 × 2,227.60
  4. Step 4: Simplify right side
    2,306.64x = 7,089,648.86
  5. Step 5: Solve for x
    x = 7,089,648.86/2,306.64
  6. Step 6: Final answer
    x = 3,073.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.