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Finding the Fourth Proportional to 3,097.72, 4,645.74 and 1,248.76

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Solution

The fourth proportional to 3,097.72, 4,645.74 and 1,248.76 is: 1,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.72 : 4,645.74 = 1,248.76 : x
  2. Step 2: Convert to fraction form
    3,097.72/4,645.74 = 1,248.76/x
  3. Step 3: Cross multiply
    3,097.72x = 4,645.74 × 1,248.76
  4. Step 4: Simplify right side
    3,097.72x = 5,801,414.28
  5. Step 5: Solve for x
    x = 5,801,414.28/3,097.72
  6. Step 6: Final answer
    x = 1,872.80

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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.