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Finding the Fourth Proportional to 3,251.50, 4,878.16 and 1,305.07

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Solution

The fourth proportional to 3,251.50, 4,878.16 and 1,305.07 is: 1,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.50 : 4,878.16 = 1,305.07 : x
  2. Step 2: Convert to fraction form
    3,251.50/4,878.16 = 1,305.07/x
  3. Step 3: Cross multiply
    3,251.50x = 4,878.16 × 1,305.07
  4. Step 4: Simplify right side
    3,251.50x = 6,366,324.81
  5. Step 5: Solve for x
    x = 6,366,324.81/3,251.50
  6. Step 6: Final answer
    x = 1,957.97

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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.