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Finding the Fourth Proportional to 2,047.96, 3,071.82 and 661.24

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Solution

The fourth proportional to 2,047.96, 3,071.82 and 661.24 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.96 : 3,071.82 = 661.24 : x
  2. Step 2: Convert to fraction form
    2,047.96/3,071.82 = 661.24/x
  3. Step 3: Cross multiply
    2,047.96x = 3,071.82 × 661.24
  4. Step 4: Simplify right side
    2,047.96x = 2,031,210.26
  5. Step 5: Solve for x
    x = 2,031,210.26/2,047.96
  6. Step 6: Final answer
    x = 991.82

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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.