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Finding the Fourth Proportional to 2,065.26, 3,098 and 832.51

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Solution

The fourth proportional to 2,065.26, 3,098 and 832.51 is: 1,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.26 : 3,098 = 832.51 : x
  2. Step 2: Convert to fraction form
    2,065.26/3,098 = 832.51/x
  3. Step 3: Cross multiply
    2,065.26x = 3,098 × 832.51
  4. Step 4: Simplify right side
    2,065.26x = 2,579,115.98
  5. Step 5: Solve for x
    x = 2,579,115.98/2,065.26
  6. Step 6: Final answer
    x = 1,248.81

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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.