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Finding the Fourth Proportional to 2,021.04, 3,031.32 and 865.92

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Solution

The fourth proportional to 2,021.04, 3,031.32 and 865.92 is: 1,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.04 : 3,031.32 = 865.92 : x
  2. Step 2: Convert to fraction form
    2,021.04/3,031.32 = 865.92/x
  3. Step 3: Cross multiply
    2,021.04x = 3,031.32 × 865.92
  4. Step 4: Simplify right side
    2,021.04x = 2,624,880.61
  5. Step 5: Solve for x
    x = 2,624,880.61/2,021.04
  6. Step 6: Final answer
    x = 1,298.78

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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.