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Finding the Fourth Proportional to 2,047.82, 3,071.81 and 661.30

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Solution

The fourth proportional to 2,047.82, 3,071.81 and 661.30 is: 991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.82 : 3,071.81 = 661.30 : x
  2. Step 2: Convert to fraction form
    2,047.82/3,071.81 = 661.30/x
  3. Step 3: Cross multiply
    2,047.82x = 3,071.81 × 661.30
  4. Step 4: Simplify right side
    2,047.82x = 2,031,387.95
  5. Step 5: Solve for x
    x = 2,031,387.95/2,047.82
  6. Step 6: Final answer
    x = 991.98

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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.