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Finding the Fourth Proportional to 1,876.11, 2,814.13 and 577.59

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Solution

The fourth proportional to 1,876.11, 2,814.13 and 577.59 is: 866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.11 : 2,814.13 = 577.59 : x
  2. Step 2: Convert to fraction form
    1,876.11/2,814.13 = 577.59/x
  3. Step 3: Cross multiply
    1,876.11x = 2,814.13 × 577.59
  4. Step 4: Simplify right side
    1,876.11x = 1,625,413.35
  5. Step 5: Solve for x
    x = 1,625,413.35/1,876.11
  6. Step 6: Final answer
    x = 866.37

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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.