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Finding the Fourth Proportional to 2,107.24, 3,180.55 and 2,107.24

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Solution

The fourth proportional to 2,107.24, 3,180.55 and 2,107.24 is: 3,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.24 : 3,180.55 = 2,107.24 : x
  2. Step 2: Convert to fraction form
    2,107.24/3,180.55 = 2,107.24/x
  3. Step 3: Cross multiply
    2,107.24x = 3,180.55 × 2,107.24
  4. Step 4: Simplify right side
    2,107.24x = 6,702,182.18
  5. Step 5: Solve for x
    x = 6,702,182.18/2,107.24
  6. Step 6: Final answer
    x = 3,180.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.