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Finding the Fourth Proportional to 2,031.14, 3,044.68 and 798.08

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Solution

The fourth proportional to 2,031.14, 3,044.68 and 798.08 is: 1,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.14 : 3,044.68 = 798.08 : x
  2. Step 2: Convert to fraction form
    2,031.14/3,044.68 = 798.08/x
  3. Step 3: Cross multiply
    2,031.14x = 3,044.68 × 798.08
  4. Step 4: Simplify right side
    2,031.14x = 2,429,881.00
  5. Step 5: Solve for x
    x = 2,429,881.00/2,031.14
  6. Step 6: Final answer
    x = 1,196.31

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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.