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Finding the Fourth Proportional to 3,018.23, 4,164.93 and 1,691.68

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Solution

The fourth proportional to 3,018.23, 4,164.93 and 1,691.68 is: 2,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.23 : 4,164.93 = 1,691.68 : x
  2. Step 2: Convert to fraction form
    3,018.23/4,164.93 = 1,691.68/x
  3. Step 3: Cross multiply
    3,018.23x = 4,164.93 × 1,691.68
  4. Step 4: Simplify right side
    3,018.23x = 7,045,728.78
  5. Step 5: Solve for x
    x = 7,045,728.78/3,018.23
  6. Step 6: Final answer
    x = 2,334.39

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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.