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Finding the Fourth Proportional to 1,876.83, 2,590.11 and 1,169.09

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Solution

The fourth proportional to 1,876.83, 2,590.11 and 1,169.09 is: 1,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.83 : 2,590.11 = 1,169.09 : x
  2. Step 2: Convert to fraction form
    1,876.83/2,590.11 = 1,169.09/x
  3. Step 3: Cross multiply
    1,876.83x = 2,590.11 × 1,169.09
  4. Step 4: Simplify right side
    1,876.83x = 3,028,070.55
  5. Step 5: Solve for x
    x = 3,028,070.55/1,876.83
  6. Step 6: Final answer
    x = 1,613.40

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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.