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Finding the Fourth Proportional to 2,294.48, 3,424.39 and 2,073.05

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Solution

The fourth proportional to 2,294.48, 3,424.39 and 2,073.05 is: 3,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.48 : 3,424.39 = 2,073.05 : x
  2. Step 2: Convert to fraction form
    2,294.48/3,424.39 = 2,073.05/x
  3. Step 3: Cross multiply
    2,294.48x = 3,424.39 × 2,073.05
  4. Step 4: Simplify right side
    2,294.48x = 7,098,935.07
  5. Step 5: Solve for x
    x = 7,098,935.07/2,294.48
  6. Step 6: Final answer
    x = 3,093.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.