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Finding the Fourth Proportional to 2,431.51, 3,645.02 and 871.14

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Solution

The fourth proportional to 2,431.51, 3,645.02 and 871.14 is: 1,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.51 : 3,645.02 = 871.14 : x
  2. Step 2: Convert to fraction form
    2,431.51/3,645.02 = 871.14/x
  3. Step 3: Cross multiply
    2,431.51x = 3,645.02 × 871.14
  4. Step 4: Simplify right side
    2,431.51x = 3,175,324.90
  5. Step 5: Solve for x
    x = 3,175,324.90/2,431.51
  6. Step 6: Final answer
    x = 1,305.91

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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.