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Finding the Fourth Proportional to 2,618.88, 3,929.84 and 976.56

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Solution

The fourth proportional to 2,618.88, 3,929.84 and 976.56 is: 1,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.88 : 3,929.84 = 976.56 : x
  2. Step 2: Convert to fraction form
    2,618.88/3,929.84 = 976.56/x
  3. Step 3: Cross multiply
    2,618.88x = 3,929.84 × 976.56
  4. Step 4: Simplify right side
    2,618.88x = 3,837,724.55
  5. Step 5: Solve for x
    x = 3,837,724.55/2,618.88
  6. Step 6: Final answer
    x = 1,465.41

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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.