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Finding the Fourth Proportional to 2,047.37, 3,071.51 and 814.83

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Solution

The fourth proportional to 2,047.37, 3,071.51 and 814.83 is: 1,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.37 : 3,071.51 = 814.83 : x
  2. Step 2: Convert to fraction form
    2,047.37/3,071.51 = 814.83/x
  3. Step 3: Cross multiply
    2,047.37x = 3,071.51 × 814.83
  4. Step 4: Simplify right side
    2,047.37x = 2,502,754.42
  5. Step 5: Solve for x
    x = 2,502,754.42/2,047.37
  6. Step 6: Final answer
    x = 1,222.43

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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.