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Finding the Fourth Proportional to 1,999.86, 2,758.96 and 1,192.14

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Solution

The fourth proportional to 1,999.86, 2,758.96 and 1,192.14 is: 1,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.86 : 2,758.96 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    1,999.86/2,758.96 = 1,192.14/x
  3. Step 3: Cross multiply
    1,999.86x = 2,758.96 × 1,192.14
  4. Step 4: Simplify right side
    1,999.86x = 3,289,066.57
  5. Step 5: Solve for x
    x = 3,289,066.57/1,999.86
  6. Step 6: Final answer
    x = 1,644.65

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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.