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Finding the Fourth Proportional to 3,363.64, 4,642.02 and 2,037.68

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Solution

The fourth proportional to 3,363.64, 4,642.02 and 2,037.68 is: 2,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.64 : 4,642.02 = 2,037.68 : x
  2. Step 2: Convert to fraction form
    3,363.64/4,642.02 = 2,037.68/x
  3. Step 3: Cross multiply
    3,363.64x = 4,642.02 × 2,037.68
  4. Step 4: Simplify right side
    3,363.64x = 9,458,951.31
  5. Step 5: Solve for x
    x = 9,458,951.31/3,363.64
  6. Step 6: Final answer
    x = 2,812.12

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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.