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Finding the Fourth Proportional to 2,644.88, 3,967.55 and 697.08

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Solution

The fourth proportional to 2,644.88, 3,967.55 and 697.08 is: 1,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.88 : 3,967.55 = 697.08 : x
  2. Step 2: Convert to fraction form
    2,644.88/3,967.55 = 697.08/x
  3. Step 3: Cross multiply
    2,644.88x = 3,967.55 × 697.08
  4. Step 4: Simplify right side
    2,644.88x = 2,765,696.27
  5. Step 5: Solve for x
    x = 2,765,696.27/2,644.88
  6. Step 6: Final answer
    x = 1,045.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.