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Finding the Fourth Proportional to 2,695.97, 4,043.79 and 1,586

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Solution

The fourth proportional to 2,695.97, 4,043.79 and 1,586 is: 2,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.97 : 4,043.79 = 1,586 : x
  2. Step 2: Convert to fraction form
    2,695.97/4,043.79 = 1,586/x
  3. Step 3: Cross multiply
    2,695.97x = 4,043.79 × 1,586
  4. Step 4: Simplify right side
    2,695.97x = 6,413,450.94
  5. Step 5: Solve for x
    x = 6,413,450.94/2,695.97
  6. Step 6: Final answer
    x = 2,378.90

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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.