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Finding the Fourth Proportional to 2,057.64, 3,081.21 and 1,132.19

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Solution

The fourth proportional to 2,057.64, 3,081.21 and 1,132.19 is: 1,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.64 : 3,081.21 = 1,132.19 : x
  2. Step 2: Convert to fraction form
    2,057.64/3,081.21 = 1,132.19/x
  3. Step 3: Cross multiply
    2,057.64x = 3,081.21 × 1,132.19
  4. Step 4: Simplify right side
    2,057.64x = 3,488,495.50
  5. Step 5: Solve for x
    x = 3,488,495.50/2,057.64
  6. Step 6: Final answer
    x = 1,695.38

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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.