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Finding the Fourth Proportional to 1,914.66, 2,642.17 and 1,169.87

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Solution

The fourth proportional to 1,914.66, 2,642.17 and 1,169.87 is: 1,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.66 : 2,642.17 = 1,169.87 : x
  2. Step 2: Convert to fraction form
    1,914.66/2,642.17 = 1,169.87/x
  3. Step 3: Cross multiply
    1,914.66x = 2,642.17 × 1,169.87
  4. Step 4: Simplify right side
    1,914.66x = 3,090,984.43
  5. Step 5: Solve for x
    x = 3,090,984.43/1,914.66
  6. Step 6: Final answer
    x = 1,614.38

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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.