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Finding the Fourth Proportional to 2,047.66, 3,071.80 and 731.31

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Solution

The fourth proportional to 2,047.66, 3,071.80 and 731.31 is: 1,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.66 : 3,071.80 = 731.31 : x
  2. Step 2: Convert to fraction form
    2,047.66/3,071.80 = 731.31/x
  3. Step 3: Cross multiply
    2,047.66x = 3,071.80 × 731.31
  4. Step 4: Simplify right side
    2,047.66x = 2,246,434.40
  5. Step 5: Solve for x
    x = 2,246,434.40/2,047.66
  6. Step 6: Final answer
    x = 1,097.07

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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.