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Finding the Fourth Proportional to 2,005.90, 2,768.16 and 1,166.65

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Solution

The fourth proportional to 2,005.90, 2,768.16 and 1,166.65 is: 1,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.90 : 2,768.16 = 1,166.65 : x
  2. Step 2: Convert to fraction form
    2,005.90/2,768.16 = 1,166.65/x
  3. Step 3: Cross multiply
    2,005.90x = 2,768.16 × 1,166.65
  4. Step 4: Simplify right side
    2,005.90x = 3,229,473.86
  5. Step 5: Solve for x
    x = 3,229,473.86/2,005.90
  6. Step 6: Final answer
    x = 1,609.99

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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.