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Finding the Fourth Proportional to 1,965.02, 2,944.49 and 732.11

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Solution

The fourth proportional to 1,965.02, 2,944.49 and 732.11 is: 1,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.02 : 2,944.49 = 732.11 : x
  2. Step 2: Convert to fraction form
    1,965.02/2,944.49 = 732.11/x
  3. Step 3: Cross multiply
    1,965.02x = 2,944.49 × 732.11
  4. Step 4: Simplify right side
    1,965.02x = 2,155,672.19
  5. Step 5: Solve for x
    x = 2,155,672.19/1,965.02
  6. Step 6: Final answer
    x = 1,097.03

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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.