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Finding the Fourth Proportional to 2,129.16, 3,189.42 and 1,101

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Solution

The fourth proportional to 2,129.16, 3,189.42 and 1,101 is: 1,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.16 : 3,189.42 = 1,101 : x
  2. Step 2: Convert to fraction form
    2,129.16/3,189.42 = 1,101/x
  3. Step 3: Cross multiply
    2,129.16x = 3,189.42 × 1,101
  4. Step 4: Simplify right side
    2,129.16x = 3,511,551.42
  5. Step 5: Solve for x
    x = 3,511,551.42/2,129.16
  6. Step 6: Final answer
    x = 1,649.27

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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.