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Finding the Fourth Proportional to 2,293.96, 3,165.86 and 1,299.41

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Solution

The fourth proportional to 2,293.96, 3,165.86 and 1,299.41 is: 1,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.96 : 3,165.86 = 1,299.41 : x
  2. Step 2: Convert to fraction form
    2,293.96/3,165.86 = 1,299.41/x
  3. Step 3: Cross multiply
    2,293.96x = 3,165.86 × 1,299.41
  4. Step 4: Simplify right side
    2,293.96x = 4,113,767.24
  5. Step 5: Solve for x
    x = 4,113,767.24/2,293.96
  6. Step 6: Final answer
    x = 1,793.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.