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Finding the Fourth Proportional to 2,013.98, 2,778.81 and 1,174.19

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Solution

The fourth proportional to 2,013.98, 2,778.81 and 1,174.19 is: 1,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.98 : 2,778.81 = 1,174.19 : x
  2. Step 2: Convert to fraction form
    2,013.98/2,778.81 = 1,174.19/x
  3. Step 3: Cross multiply
    2,013.98x = 2,778.81 × 1,174.19
  4. Step 4: Simplify right side
    2,013.98x = 3,262,837.02
  5. Step 5: Solve for x
    x = 3,262,837.02/2,013.98
  6. Step 6: Final answer
    x = 1,620.10

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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.