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Finding the Fourth Proportional to 2,165.37, 3,243.52 and 2,009.71

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Solution

The fourth proportional to 2,165.37, 3,243.52 and 2,009.71 is: 3,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.37 : 3,243.52 = 2,009.71 : x
  2. Step 2: Convert to fraction form
    2,165.37/3,243.52 = 2,009.71/x
  3. Step 3: Cross multiply
    2,165.37x = 3,243.52 × 2,009.71
  4. Step 4: Simplify right side
    2,165.37x = 6,518,534.58
  5. Step 5: Solve for x
    x = 6,518,534.58/2,165.37
  6. Step 6: Final answer
    x = 3,010.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.