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Finding the Fourth Proportional to 2,307.96, 3,445.50 and 2,226.96

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Solution

The fourth proportional to 2,307.96, 3,445.50 and 2,226.96 is: 3,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.96 : 3,445.50 = 2,226.96 : x
  2. Step 2: Convert to fraction form
    2,307.96/3,445.50 = 2,226.96/x
  3. Step 3: Cross multiply
    2,307.96x = 3,445.50 × 2,226.96
  4. Step 4: Simplify right side
    2,307.96x = 7,672,990.68
  5. Step 5: Solve for x
    x = 7,672,990.68/2,307.96
  6. Step 6: Final answer
    x = 3,324.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.