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Finding the Fourth Proportional to 2,047.14, 3,071.49 and 815.46

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Solution

The fourth proportional to 2,047.14, 3,071.49 and 815.46 is: 1,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.14 : 3,071.49 = 815.46 : x
  2. Step 2: Convert to fraction form
    2,047.14/3,071.49 = 815.46/x
  3. Step 3: Cross multiply
    2,047.14x = 3,071.49 × 815.46
  4. Step 4: Simplify right side
    2,047.14x = 2,504,677.24
  5. Step 5: Solve for x
    x = 2,504,677.24/2,047.14
  6. Step 6: Final answer
    x = 1,223.50

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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.