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Finding the Fourth Proportional to 2,173.03, 2,998.82 and 1,288.91

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Solution

The fourth proportional to 2,173.03, 2,998.82 and 1,288.91 is: 1,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.03 : 2,998.82 = 1,288.91 : x
  2. Step 2: Convert to fraction form
    2,173.03/2,998.82 = 1,288.91/x
  3. Step 3: Cross multiply
    2,173.03x = 2,998.82 × 1,288.91
  4. Step 4: Simplify right side
    2,173.03x = 3,865,219.81
  5. Step 5: Solve for x
    x = 3,865,219.81/2,173.03
  6. Step 6: Final answer
    x = 1,778.73

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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.