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Finding the Fourth Proportional to 2,095.88, 3,144.08 and 797.72

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Solution

The fourth proportional to 2,095.88, 3,144.08 and 797.72 is: 1,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.88 : 3,144.08 = 797.72 : x
  2. Step 2: Convert to fraction form
    2,095.88/3,144.08 = 797.72/x
  3. Step 3: Cross multiply
    2,095.88x = 3,144.08 × 797.72
  4. Step 4: Simplify right side
    2,095.88x = 2,508,095.50
  5. Step 5: Solve for x
    x = 2,508,095.50/2,095.88
  6. Step 6: Final answer
    x = 1,196.68

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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.