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Finding the Fourth Proportional to 2,065.51, 3,097.45 and 832.69

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Solution

The fourth proportional to 2,065.51, 3,097.45 and 832.69 is: 1,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.51 : 3,097.45 = 832.69 : x
  2. Step 2: Convert to fraction form
    2,065.51/3,097.45 = 832.69/x
  3. Step 3: Cross multiply
    2,065.51x = 3,097.45 × 832.69
  4. Step 4: Simplify right side
    2,065.51x = 2,579,215.64
  5. Step 5: Solve for x
    x = 2,579,215.64/2,065.51
  6. Step 6: Final answer
    x = 1,248.71

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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.