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Finding the Fourth Proportional to 2,294.08, 3,436.80 and 2,034.88

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Solution

The fourth proportional to 2,294.08, 3,436.80 and 2,034.88 is: 3,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.08 : 3,436.80 = 2,034.88 : x
  2. Step 2: Convert to fraction form
    2,294.08/3,436.80 = 2,034.88/x
  3. Step 3: Cross multiply
    2,294.08x = 3,436.80 × 2,034.88
  4. Step 4: Simplify right side
    2,294.08x = 6,993,475.58
  5. Step 5: Solve for x
    x = 6,993,475.58/2,294.08
  6. Step 6: Final answer
    x = 3,048.49

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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.