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Finding the Fourth Proportional to 2,165.07, 3,230.60 and 2,032.82

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Solution

The fourth proportional to 2,165.07, 3,230.60 and 2,032.82 is: 3,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.07 : 3,230.60 = 2,032.82 : x
  2. Step 2: Convert to fraction form
    2,165.07/3,230.60 = 2,032.82/x
  3. Step 3: Cross multiply
    2,165.07x = 3,230.60 × 2,032.82
  4. Step 4: Simplify right side
    2,165.07x = 6,567,226.03
  5. Step 5: Solve for x
    x = 6,567,226.03/2,165.07
  6. Step 6: Final answer
    x = 3,033.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.