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Finding the Fourth Proportional to 2,295.45, 3,167.82 and 1,734.93

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Solution

The fourth proportional to 2,295.45, 3,167.82 and 1,734.93 is: 2,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.45 : 3,167.82 = 1,734.93 : x
  2. Step 2: Convert to fraction form
    2,295.45/3,167.82 = 1,734.93/x
  3. Step 3: Cross multiply
    2,295.45x = 3,167.82 × 1,734.93
  4. Step 4: Simplify right side
    2,295.45x = 5,495,945.95
  5. Step 5: Solve for x
    x = 5,495,945.95/2,295.45
  6. Step 6: Final answer
    x = 2,394.28

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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.