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Finding the Fourth Proportional to 3,454.64, 4,768.99 and 2,037.84

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Solution

The fourth proportional to 3,454.64, 4,768.99 and 2,037.84 is: 2,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.64 : 4,768.99 = 2,037.84 : x
  2. Step 2: Convert to fraction form
    3,454.64/4,768.99 = 2,037.84/x
  3. Step 3: Cross multiply
    3,454.64x = 4,768.99 × 2,037.84
  4. Step 4: Simplify right side
    3,454.64x = 9,718,433.49
  5. Step 5: Solve for x
    x = 9,718,433.49/3,454.64
  6. Step 6: Final answer
    x = 2,813.16

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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.