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Finding the Fourth Proportional to 2,663.49, 3,995.37 and 814.65

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Solution

The fourth proportional to 2,663.49, 3,995.37 and 814.65 is: 1,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.49 : 3,995.37 = 814.65 : x
  2. Step 2: Convert to fraction form
    2,663.49/3,995.37 = 814.65/x
  3. Step 3: Cross multiply
    2,663.49x = 3,995.37 × 814.65
  4. Step 4: Simplify right side
    2,663.49x = 3,254,828.17
  5. Step 5: Solve for x
    x = 3,254,828.17/2,663.49
  6. Step 6: Final answer
    x = 1,222.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.