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Finding the Fourth Proportional to 2,963.64, 4,434.99 and 2,181.81

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Solution

The fourth proportional to 2,963.64, 4,434.99 and 2,181.81 is: 3,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.64 : 4,434.99 = 2,181.81 : x
  2. Step 2: Convert to fraction form
    2,963.64/4,434.99 = 2,181.81/x
  3. Step 3: Cross multiply
    2,963.64x = 4,434.99 × 2,181.81
  4. Step 4: Simplify right side
    2,963.64x = 9,676,305.53
  5. Step 5: Solve for x
    x = 9,676,305.53/2,963.64
  6. Step 6: Final answer
    x = 3,265.01

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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.