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Finding the Fourth Proportional to 2,275.93, 3,414.71 and 795.37

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Solution

The fourth proportional to 2,275.93, 3,414.71 and 795.37 is: 1,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.93 : 3,414.71 = 795.37 : x
  2. Step 2: Convert to fraction form
    2,275.93/3,414.71 = 795.37/x
  3. Step 3: Cross multiply
    2,275.93x = 3,414.71 × 795.37
  4. Step 4: Simplify right side
    2,275.93x = 2,715,936.84
  5. Step 5: Solve for x
    x = 2,715,936.84/2,275.93
  6. Step 6: Final answer
    x = 1,193.33

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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.