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Finding the Fourth Proportional to 2,047.48, 3,071.69 and 641.82

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Solution

The fourth proportional to 2,047.48, 3,071.69 and 641.82 is: 962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.48 : 3,071.69 = 641.82 : x
  2. Step 2: Convert to fraction form
    2,047.48/3,071.69 = 641.82/x
  3. Step 3: Cross multiply
    2,047.48x = 3,071.69 × 641.82
  4. Step 4: Simplify right side
    2,047.48x = 1,971,472.08
  5. Step 5: Solve for x
    x = 1,971,472.08/2,047.48
  6. Step 6: Final answer
    x = 962.88

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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.