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Finding the Fourth Proportional to 2,234.01, 3,348.99 and 1,366.50

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Solution

The fourth proportional to 2,234.01, 3,348.99 and 1,366.50 is: 2,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.01 : 3,348.99 = 1,366.50 : x
  2. Step 2: Convert to fraction form
    2,234.01/3,348.99 = 1,366.50/x
  3. Step 3: Cross multiply
    2,234.01x = 3,348.99 × 1,366.50
  4. Step 4: Simplify right side
    2,234.01x = 4,576,394.84
  5. Step 5: Solve for x
    x = 4,576,394.84/2,234.01
  6. Step 6: Final answer
    x = 2,048.51

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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.