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Finding the Fourth Proportional to 3,294.34, 4,941.51 and 2,274.82

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Solution

The fourth proportional to 3,294.34, 4,941.51 and 2,274.82 is: 3,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.34 : 4,941.51 = 2,274.82 : x
  2. Step 2: Convert to fraction form
    3,294.34/4,941.51 = 2,274.82/x
  3. Step 3: Cross multiply
    3,294.34x = 4,941.51 × 2,274.82
  4. Step 4: Simplify right side
    3,294.34x = 11,241,045.78
  5. Step 5: Solve for x
    x = 11,241,045.78/3,294.34
  6. Step 6: Final answer
    x = 3,412.23

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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.