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Finding the Fourth Proportional to 2,951.48, 4,073.01 and 1,832.87

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Solution

The fourth proportional to 2,951.48, 4,073.01 and 1,832.87 is: 2,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.48 : 4,073.01 = 1,832.87 : x
  2. Step 2: Convert to fraction form
    2,951.48/4,073.01 = 1,832.87/x
  3. Step 3: Cross multiply
    2,951.48x = 4,073.01 × 1,832.87
  4. Step 4: Simplify right side
    2,951.48x = 7,465,297.84
  5. Step 5: Solve for x
    x = 7,465,297.84/2,951.48
  6. Step 6: Final answer
    x = 2,529.34

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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.