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Finding the Fourth Proportional to 2,619.88, 3,930.52 and 976.48

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Solution

The fourth proportional to 2,619.88, 3,930.52 and 976.48 is: 1,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.88 : 3,930.52 = 976.48 : x
  2. Step 2: Convert to fraction form
    2,619.88/3,930.52 = 976.48/x
  3. Step 3: Cross multiply
    2,619.88x = 3,930.52 × 976.48
  4. Step 4: Simplify right side
    2,619.88x = 3,838,074.17
  5. Step 5: Solve for x
    x = 3,838,074.17/2,619.88
  6. Step 6: Final answer
    x = 1,464.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.