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Finding the Fourth Proportional to 2,644.84, 3,967.32 and 697.11

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Solution

The fourth proportional to 2,644.84, 3,967.32 and 697.11 is: 1,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.84 : 3,967.32 = 697.11 : x
  2. Step 2: Convert to fraction form
    2,644.84/3,967.32 = 697.11/x
  3. Step 3: Cross multiply
    2,644.84x = 3,967.32 × 697.11
  4. Step 4: Simplify right side
    2,644.84x = 2,765,658.45
  5. Step 5: Solve for x
    x = 2,765,658.45/2,644.84
  6. Step 6: Final answer
    x = 1,045.68

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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.