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Finding the Fourth Proportional to 2,072.31, 2,859.03 and 1,233.24

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Solution

The fourth proportional to 2,072.31, 2,859.03 and 1,233.24 is: 1,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.31 : 2,859.03 = 1,233.24 : x
  2. Step 2: Convert to fraction form
    2,072.31/2,859.03 = 1,233.24/x
  3. Step 3: Cross multiply
    2,072.31x = 2,859.03 × 1,233.24
  4. Step 4: Simplify right side
    2,072.31x = 3,525,870.16
  5. Step 5: Solve for x
    x = 3,525,870.16/2,072.31
  6. Step 6: Final answer
    x = 1,701.42

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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.