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Finding the Fourth Proportional to 2,293.74, 3,439.96 and 887.83

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Solution

The fourth proportional to 2,293.74, 3,439.96 and 887.83 is: 1,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.74 : 3,439.96 = 887.83 : x
  2. Step 2: Convert to fraction form
    2,293.74/3,439.96 = 887.83/x
  3. Step 3: Cross multiply
    2,293.74x = 3,439.96 × 887.83
  4. Step 4: Simplify right side
    2,293.74x = 3,054,099.69
  5. Step 5: Solve for x
    x = 3,054,099.69/2,293.74
  6. Step 6: Final answer
    x = 1,331.49

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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.