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Finding the Fourth Proportional to 2,030.91, 3,044.43 and 797.91

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Solution

The fourth proportional to 2,030.91, 3,044.43 and 797.91 is: 1,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.91 : 3,044.43 = 797.91 : x
  2. Step 2: Convert to fraction form
    2,030.91/3,044.43 = 797.91/x
  3. Step 3: Cross multiply
    2,030.91x = 3,044.43 × 797.91
  4. Step 4: Simplify right side
    2,030.91x = 2,429,181.14
  5. Step 5: Solve for x
    x = 2,429,181.14/2,030.91
  6. Step 6: Final answer
    x = 1,196.10

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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.