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Finding the Fourth Proportional to 2,107.65, 3,165.06 and 2,019.48

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Solution

The fourth proportional to 2,107.65, 3,165.06 and 2,019.48 is: 3,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.65 : 3,165.06 = 2,019.48 : x
  2. Step 2: Convert to fraction form
    2,107.65/3,165.06 = 2,019.48/x
  3. Step 3: Cross multiply
    2,107.65x = 3,165.06 × 2,019.48
  4. Step 4: Simplify right side
    2,107.65x = 6,391,778.23
  5. Step 5: Solve for x
    x = 6,391,778.23/2,107.65
  6. Step 6: Final answer
    x = 3,032.66

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1.5x scale

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.