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Finding the Fourth Proportional to 3,362.64, 4,640.64 and 2,036.68

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Solution

The fourth proportional to 3,362.64, 4,640.64 and 2,036.68 is: 2,810.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.64 : 4,640.64 = 2,036.68 : x
  2. Step 2: Convert to fraction form
    3,362.64/4,640.64 = 2,036.68/x
  3. Step 3: Cross multiply
    3,362.64x = 4,640.64 × 2,036.68
  4. Step 4: Simplify right side
    3,362.64x = 9,451,498.68
  5. Step 5: Solve for x
    x = 9,451,498.68/3,362.64
  6. Step 6: Final answer
    x = 2,810.74

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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.