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Finding the Fourth Proportional to 1,876.11, 2,814.16 and 577.56

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Solution

The fourth proportional to 1,876.11, 2,814.16 and 577.56 is: 866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.11 : 2,814.16 = 577.56 : x
  2. Step 2: Convert to fraction form
    1,876.11/2,814.16 = 577.56/x
  3. Step 3: Cross multiply
    1,876.11x = 2,814.16 × 577.56
  4. Step 4: Simplify right side
    1,876.11x = 1,625,346.25
  5. Step 5: Solve for x
    x = 1,625,346.25/1,876.11
  6. Step 6: Final answer
    x = 866.34

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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.