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Finding the Fourth Proportional to 3,232.68, 4,841.64 and 1,931.48

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Solution

The fourth proportional to 3,232.68, 4,841.64 and 1,931.48 is: 2,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.68 : 4,841.64 = 1,931.48 : x
  2. Step 2: Convert to fraction form
    3,232.68/4,841.64 = 1,931.48/x
  3. Step 3: Cross multiply
    3,232.68x = 4,841.64 × 1,931.48
  4. Step 4: Simplify right side
    3,232.68x = 9,351,530.83
  5. Step 5: Solve for x
    x = 9,351,530.83/3,232.68
  6. Step 6: Final answer
    x = 2,892.81

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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.