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Finding the Fourth Proportional to 2,290.44, 3,160.96 and 1,295.34

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Solution

The fourth proportional to 2,290.44, 3,160.96 and 1,295.34 is: 1,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.44 : 3,160.96 = 1,295.34 : x
  2. Step 2: Convert to fraction form
    2,290.44/3,160.96 = 1,295.34/x
  3. Step 3: Cross multiply
    2,290.44x = 3,160.96 × 1,295.34
  4. Step 4: Simplify right side
    2,290.44x = 4,094,517.93
  5. Step 5: Solve for x
    x = 4,094,517.93/2,290.44
  6. Step 6: Final answer
    x = 1,787.66

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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.