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Finding the Fourth Proportional to 2,165.72, 3,248.81 and 704.53

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Solution

The fourth proportional to 2,165.72, 3,248.81 and 704.53 is: 1,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.72 : 3,248.81 = 704.53 : x
  2. Step 2: Convert to fraction form
    2,165.72/3,248.81 = 704.53/x
  3. Step 3: Cross multiply
    2,165.72x = 3,248.81 × 704.53
  4. Step 4: Simplify right side
    2,165.72x = 2,288,884.11
  5. Step 5: Solve for x
    x = 2,288,884.11/2,165.72
  6. Step 6: Final answer
    x = 1,056.87

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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.