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Finding the Fourth Proportional to 3,294.34, 4,940.49 and 1,102.56

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Solution

The fourth proportional to 3,294.34, 4,940.49 and 1,102.56 is: 1,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.34 : 4,940.49 = 1,102.56 : x
  2. Step 2: Convert to fraction form
    3,294.34/4,940.49 = 1,102.56/x
  3. Step 3: Cross multiply
    3,294.34x = 4,940.49 × 1,102.56
  4. Step 4: Simplify right side
    3,294.34x = 5,447,186.65
  5. Step 5: Solve for x
    x = 5,447,186.65/3,294.34
  6. Step 6: Final answer
    x = 1,653.50

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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.