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Finding the Fourth Proportional to 2,326.07, 3,486.98 and 765.09

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Solution

The fourth proportional to 2,326.07, 3,486.98 and 765.09 is: 1,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.07 : 3,486.98 = 765.09 : x
  2. Step 2: Convert to fraction form
    2,326.07/3,486.98 = 765.09/x
  3. Step 3: Cross multiply
    2,326.07x = 3,486.98 × 765.09
  4. Step 4: Simplify right side
    2,326.07x = 2,667,849.70
  5. Step 5: Solve for x
    x = 2,667,849.70/2,326.07
  6. Step 6: Final answer
    x = 1,146.94

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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.