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Finding the Fourth Proportional to 2,502.95, 3,754.96 and 942.92

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Solution

The fourth proportional to 2,502.95, 3,754.96 and 942.92 is: 1,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.95 : 3,754.96 = 942.92 : x
  2. Step 2: Convert to fraction form
    2,502.95/3,754.96 = 942.92/x
  3. Step 3: Cross multiply
    2,502.95x = 3,754.96 × 942.92
  4. Step 4: Simplify right side
    2,502.95x = 3,540,620.40
  5. Step 5: Solve for x
    x = 3,540,620.40/2,502.95
  6. Step 6: Final answer
    x = 1,414.58

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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.