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Finding the Fourth Proportional to 2,119.66, 3,178.71 and 732.64

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Solution

The fourth proportional to 2,119.66, 3,178.71 and 732.64 is: 1,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.66 : 3,178.71 = 732.64 : x
  2. Step 2: Convert to fraction form
    2,119.66/3,178.71 = 732.64/x
  3. Step 3: Cross multiply
    2,119.66x = 3,178.71 × 732.64
  4. Step 4: Simplify right side
    2,119.66x = 2,328,850.09
  5. Step 5: Solve for x
    x = 2,328,850.09/2,119.66
  6. Step 6: Final answer
    x = 1,098.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.