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Finding the Fourth Proportional to 2,619.44, 3,929.32 and 887.92

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Solution

The fourth proportional to 2,619.44, 3,929.32 and 887.92 is: 1,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.44 : 3,929.32 = 887.92 : x
  2. Step 2: Convert to fraction form
    2,619.44/3,929.32 = 887.92/x
  3. Step 3: Cross multiply
    2,619.44x = 3,929.32 × 887.92
  4. Step 4: Simplify right side
    2,619.44x = 3,488,921.81
  5. Step 5: Solve for x
    x = 3,488,921.81/2,619.44
  6. Step 6: Final answer
    x = 1,331.93

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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.