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Finding the Fourth Proportional to 2,031.31, 3,066.04 and 2,031.31

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Solution

The fourth proportional to 2,031.31, 3,066.04 and 2,031.31 is: 3,066.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.31 : 3,066.04 = 2,031.31 : x
  2. Step 2: Convert to fraction form
    2,031.31/3,066.04 = 2,031.31/x
  3. Step 3: Cross multiply
    2,031.31x = 3,066.04 × 2,031.31
  4. Step 4: Simplify right side
    2,031.31x = 6,228,077.71
  5. Step 5: Solve for x
    x = 6,228,077.71/2,031.31
  6. Step 6: Final answer
    x = 3,066.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.