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Finding the Fourth Proportional to 2,174.55, 3,262.71 and 788.03

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Solution

The fourth proportional to 2,174.55, 3,262.71 and 788.03 is: 1,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.55 : 3,262.71 = 788.03 : x
  2. Step 2: Convert to fraction form
    2,174.55/3,262.71 = 788.03/x
  3. Step 3: Cross multiply
    2,174.55x = 3,262.71 × 788.03
  4. Step 4: Simplify right side
    2,174.55x = 2,571,121.52
  5. Step 5: Solve for x
    x = 2,571,121.52/2,174.55
  6. Step 6: Final answer
    x = 1,182.37

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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.