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Finding the Fourth Proportional to 2,178.01, 3,005.68 and 1,183.31

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Solution

The fourth proportional to 2,178.01, 3,005.68 and 1,183.31 is: 1,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.01 : 3,005.68 = 1,183.31 : x
  2. Step 2: Convert to fraction form
    2,178.01/3,005.68 = 1,183.31/x
  3. Step 3: Cross multiply
    2,178.01x = 3,005.68 × 1,183.31
  4. Step 4: Simplify right side
    2,178.01x = 3,556,639.13
  5. Step 5: Solve for x
    x = 3,556,639.13/2,178.01
  6. Step 6: Final answer
    x = 1,632.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.