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Finding the Fourth Proportional to 2,158.89, 3,237.75 and 697.74

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Solution

The fourth proportional to 2,158.89, 3,237.75 and 697.74 is: 1,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.89 : 3,237.75 = 697.74 : x
  2. Step 2: Convert to fraction form
    2,158.89/3,237.75 = 697.74/x
  3. Step 3: Cross multiply
    2,158.89x = 3,237.75 × 697.74
  4. Step 4: Simplify right side
    2,158.89x = 2,259,107.69
  5. Step 5: Solve for x
    x = 2,259,107.69/2,158.89
  6. Step 6: Final answer
    x = 1,046.42

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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.