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Finding the Fourth Proportional to 2,154.60, 3,230.08 and 1,179.77

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Solution

The fourth proportional to 2,154.60, 3,230.08 and 1,179.77 is: 1,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.60 : 3,230.08 = 1,179.77 : x
  2. Step 2: Convert to fraction form
    2,154.60/3,230.08 = 1,179.77/x
  3. Step 3: Cross multiply
    2,154.60x = 3,230.08 × 1,179.77
  4. Step 4: Simplify right side
    2,154.60x = 3,810,732.38
  5. Step 5: Solve for x
    x = 3,810,732.38/2,154.60
  6. Step 6: Final answer
    x = 1,768.65

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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.