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Finding the Fourth Proportional to 2,954.66, 4,431.84 and 1,105.64

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Solution

The fourth proportional to 2,954.66, 4,431.84 and 1,105.64 is: 1,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.66 : 4,431.84 = 1,105.64 : x
  2. Step 2: Convert to fraction form
    2,954.66/4,431.84 = 1,105.64/x
  3. Step 3: Cross multiply
    2,954.66x = 4,431.84 × 1,105.64
  4. Step 4: Simplify right side
    2,954.66x = 4,899,997.42
  5. Step 5: Solve for x
    x = 4,899,997.42/2,954.66
  6. Step 6: Final answer
    x = 1,658.40

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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.