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Finding the Fourth Proportional to 3,251.92, 4,878.68 and 943.42

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Solution

The fourth proportional to 3,251.92, 4,878.68 and 943.42 is: 1,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.92 : 4,878.68 = 943.42 : x
  2. Step 2: Convert to fraction form
    3,251.92/4,878.68 = 943.42/x
  3. Step 3: Cross multiply
    3,251.92x = 4,878.68 × 943.42
  4. Step 4: Simplify right side
    3,251.92x = 4,602,644.29
  5. Step 5: Solve for x
    x = 4,602,644.29/3,251.92
  6. Step 6: Final answer
    x = 1,415.36

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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.