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Finding the Fourth Proportional to 3,293.81, 4,546.61 and 2,035.83

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Solution

The fourth proportional to 3,293.81, 4,546.61 and 2,035.83 is: 2,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.81 : 4,546.61 = 2,035.83 : x
  2. Step 2: Convert to fraction form
    3,293.81/4,546.61 = 2,035.83/x
  3. Step 3: Cross multiply
    3,293.81x = 4,546.61 × 2,035.83
  4. Step 4: Simplify right side
    3,293.81x = 9,256,118.76
  5. Step 5: Solve for x
    x = 9,256,118.76/3,293.81
  6. Step 6: Final answer
    x = 2,810.16

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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.