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Finding the Fourth Proportional to 2,176.81, 3,004.01 and 1,182.09

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Solution

The fourth proportional to 2,176.81, 3,004.01 and 1,182.09 is: 1,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.81 : 3,004.01 = 1,182.09 : x
  2. Step 2: Convert to fraction form
    2,176.81/3,004.01 = 1,182.09/x
  3. Step 3: Cross multiply
    2,176.81x = 3,004.01 × 1,182.09
  4. Step 4: Simplify right side
    2,176.81x = 3,551,010.18
  5. Step 5: Solve for x
    x = 3,551,010.18/2,176.81
  6. Step 6: Final answer
    x = 1,631.29

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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.