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Finding the Fourth Proportional to 2,007.42, 3,009.83 and 1,083.63

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Solution

The fourth proportional to 2,007.42, 3,009.83 and 1,083.63 is: 1,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.42 : 3,009.83 = 1,083.63 : x
  2. Step 2: Convert to fraction form
    2,007.42/3,009.83 = 1,083.63/x
  3. Step 3: Cross multiply
    2,007.42x = 3,009.83 × 1,083.63
  4. Step 4: Simplify right side
    2,007.42x = 3,261,531.02
  5. Step 5: Solve for x
    x = 3,261,531.02/2,007.42
  6. Step 6: Final answer
    x = 1,624.74

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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.