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Finding the Fourth Proportional to 2,299.95, 3,166.17 and 2,078.22

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Solution

The fourth proportional to 2,299.95, 3,166.17 and 2,078.22 is: 2,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.95 : 3,166.17 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    2,299.95/3,166.17 = 2,078.22/x
  3. Step 3: Cross multiply
    2,299.95x = 3,166.17 × 2,078.22
  4. Step 4: Simplify right side
    2,299.95x = 6,579,997.82
  5. Step 5: Solve for x
    x = 6,579,997.82/2,299.95
  6. Step 6: Final answer
    x = 2,860.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.