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Finding the Fourth Proportional to 2,505.65, 3,754.05 and 2,234.15

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Solution

The fourth proportional to 2,505.65, 3,754.05 and 2,234.15 is: 3,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.65 : 3,754.05 = 2,234.15 : x
  2. Step 2: Convert to fraction form
    2,505.65/3,754.05 = 2,234.15/x
  3. Step 3: Cross multiply
    2,505.65x = 3,754.05 × 2,234.15
  4. Step 4: Simplify right side
    2,505.65x = 8,387,110.81
  5. Step 5: Solve for x
    x = 8,387,110.81/2,505.65
  6. Step 6: Final answer
    x = 3,347.28

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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.