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Finding the Fourth Proportional to 2,173.08, 2,998.83 and 1,178.38

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Solution

The fourth proportional to 2,173.08, 2,998.83 and 1,178.38 is: 1,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.08 : 2,998.83 = 1,178.38 : x
  2. Step 2: Convert to fraction form
    2,173.08/2,998.83 = 1,178.38/x
  3. Step 3: Cross multiply
    2,173.08x = 2,998.83 × 1,178.38
  4. Step 4: Simplify right side
    2,173.08x = 3,533,761.30
  5. Step 5: Solve for x
    x = 3,533,761.30/2,173.08
  6. Step 6: Final answer
    x = 1,626.15

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Why These Related Problems?

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