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Finding the Fourth Proportional to 2,242.94, 3,093.39 and 1,402.11

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Solution

The fourth proportional to 2,242.94, 3,093.39 and 1,402.11 is: 1,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.94 : 3,093.39 = 1,402.11 : x
  2. Step 2: Convert to fraction form
    2,242.94/3,093.39 = 1,402.11/x
  3. Step 3: Cross multiply
    2,242.94x = 3,093.39 × 1,402.11
  4. Step 4: Simplify right side
    2,242.94x = 4,337,273.05
  5. Step 5: Solve for x
    x = 4,337,273.05/2,242.94
  6. Step 6: Final answer
    x = 1,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.