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Finding the Fourth Proportional to 2,156.65, 2,974.78 and 1,493.26

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Solution

The fourth proportional to 2,156.65, 2,974.78 and 1,493.26 is: 2,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.65 : 2,974.78 = 1,493.26 : x
  2. Step 2: Convert to fraction form
    2,156.65/2,974.78 = 1,493.26/x
  3. Step 3: Cross multiply
    2,156.65x = 2,974.78 × 1,493.26
  4. Step 4: Simplify right side
    2,156.65x = 4,442,119.98
  5. Step 5: Solve for x
    x = 4,442,119.98/2,156.65
  6. Step 6: Final answer
    x = 2,059.73

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