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Finding the Fourth Proportional to 2,021.96, 3,031.91 and 925.39

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Solution

The fourth proportional to 2,021.96, 3,031.91 and 925.39 is: 1,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.96 : 3,031.91 = 925.39 : x
  2. Step 2: Convert to fraction form
    2,021.96/3,031.91 = 925.39/x
  3. Step 3: Cross multiply
    2,021.96x = 3,031.91 × 925.39
  4. Step 4: Simplify right side
    2,021.96x = 2,805,689.98
  5. Step 5: Solve for x
    x = 2,805,689.98/2,021.96
  6. Step 6: Final answer
    x = 1,387.61

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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.