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Finding the Fourth Proportional to 2,234.87, 3,349.86 and 1,502.63

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Solution

The fourth proportional to 2,234.87, 3,349.86 and 1,502.63 is: 2,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.87 : 3,349.86 = 1,502.63 : x
  2. Step 2: Convert to fraction form
    2,234.87/3,349.86 = 1,502.63/x
  3. Step 3: Cross multiply
    2,234.87x = 3,349.86 × 1,502.63
  4. Step 4: Simplify right side
    2,234.87x = 5,033,583.38
  5. Step 5: Solve for x
    x = 5,033,583.38/2,234.87
  6. Step 6: Final answer
    x = 2,252.30

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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.