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Finding the Fourth Proportional to 2,093.71, 3,140.67 and 795.28

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Solution

The fourth proportional to 2,093.71, 3,140.67 and 795.28 is: 1,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.71 : 3,140.67 = 795.28 : x
  2. Step 2: Convert to fraction form
    2,093.71/3,140.67 = 795.28/x
  3. Step 3: Cross multiply
    2,093.71x = 3,140.67 × 795.28
  4. Step 4: Simplify right side
    2,093.71x = 2,497,712.04
  5. Step 5: Solve for x
    x = 2,497,712.04/2,093.71
  6. Step 6: Final answer
    x = 1,192.96

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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.