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Finding the Fourth Proportional to 2,047.56, 3,071.55 and 814.80

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Solution

The fourth proportional to 2,047.56, 3,071.55 and 814.80 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.56 : 3,071.55 = 814.80 : x
  2. Step 2: Convert to fraction form
    2,047.56/3,071.55 = 814.80/x
  3. Step 3: Cross multiply
    2,047.56x = 3,071.55 × 814.80
  4. Step 4: Simplify right side
    2,047.56x = 2,502,698.94
  5. Step 5: Solve for x
    x = 2,502,698.94/2,047.56
  6. Step 6: Final answer
    x = 1,222.28

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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.