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Finding the Fourth Proportional to 2,013.59, 2,778.63 and 1,174.26

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Solution

The fourth proportional to 2,013.59, 2,778.63 and 1,174.26 is: 1,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.59 : 2,778.63 = 1,174.26 : x
  2. Step 2: Convert to fraction form
    2,013.59/2,778.63 = 1,174.26/x
  3. Step 3: Cross multiply
    2,013.59x = 2,778.63 × 1,174.26
  4. Step 4: Simplify right side
    2,013.59x = 3,262,834.06
  5. Step 5: Solve for x
    x = 3,262,834.06/2,013.59
  6. Step 6: Final answer
    x = 1,620.41

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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.