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Finding the Fourth Proportional to 2,059.01, 2,841.31 and 1,174.90

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Solution

The fourth proportional to 2,059.01, 2,841.31 and 1,174.90 is: 1,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.01 : 2,841.31 = 1,174.90 : x
  2. Step 2: Convert to fraction form
    2,059.01/2,841.31 = 1,174.90/x
  3. Step 3: Cross multiply
    2,059.01x = 2,841.31 × 1,174.90
  4. Step 4: Simplify right side
    2,059.01x = 3,338,255.12
  5. Step 5: Solve for x
    x = 3,338,255.12/2,059.01
  6. Step 6: Final answer
    x = 1,621.29

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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.