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Finding the Fourth Proportional to 2,109.77, 3,168.30 and 1,292.84

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Solution

The fourth proportional to 2,109.77, 3,168.30 and 1,292.84 is: 1,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.77 : 3,168.30 = 1,292.84 : x
  2. Step 2: Convert to fraction form
    2,109.77/3,168.30 = 1,292.84/x
  3. Step 3: Cross multiply
    2,109.77x = 3,168.30 × 1,292.84
  4. Step 4: Simplify right side
    2,109.77x = 4,096,095.13
  5. Step 5: Solve for x
    x = 4,096,095.13/2,109.77
  6. Step 6: Final answer
    x = 1,941.49

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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.