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Finding the Fourth Proportional to 2,618.82, 3,922.14 and 1,876.50

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Solution

The fourth proportional to 2,618.82, 3,922.14 and 1,876.50 is: 2,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.82 : 3,922.14 = 1,876.50 : x
  2. Step 2: Convert to fraction form
    2,618.82/3,922.14 = 1,876.50/x
  3. Step 3: Cross multiply
    2,618.82x = 3,922.14 × 1,876.50
  4. Step 4: Simplify right side
    2,618.82x = 7,359,895.71
  5. Step 5: Solve for x
    x = 7,359,895.71/2,618.82
  6. Step 6: Final answer
    x = 2,810.39

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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.