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Finding the Fourth Proportional to 2,165.55, 3,242.79 and 1,190.58

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Solution

The fourth proportional to 2,165.55, 3,242.79 and 1,190.58 is: 1,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.55 : 3,242.79 = 1,190.58 : x
  2. Step 2: Convert to fraction form
    2,165.55/3,242.79 = 1,190.58/x
  3. Step 3: Cross multiply
    2,165.55x = 3,242.79 × 1,190.58
  4. Step 4: Simplify right side
    2,165.55x = 3,860,800.92
  5. Step 5: Solve for x
    x = 3,860,800.92/2,165.55
  6. Step 6: Final answer
    x = 1,782.83

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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.