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Finding the Fourth Proportional to 2,065.33, 3,097.95 and 832.71

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Solution

The fourth proportional to 2,065.33, 3,097.95 and 832.71 is: 1,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.33 : 3,097.95 = 832.71 : x
  2. Step 2: Convert to fraction form
    2,065.33/3,097.95 = 832.71/x
  3. Step 3: Cross multiply
    2,065.33x = 3,097.95 × 832.71
  4. Step 4: Simplify right side
    2,065.33x = 2,579,693.94
  5. Step 5: Solve for x
    x = 2,579,693.94/2,065.33
  6. Step 6: Final answer
    x = 1,249.05

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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.