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Finding the Fourth Proportional to 2,165.64, 3,248.10 and 704.58

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Solution

The fourth proportional to 2,165.64, 3,248.10 and 704.58 is: 1,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 3,248.10 = 704.58 : x
  2. Step 2: Convert to fraction form
    2,165.64/3,248.10 = 704.58/x
  3. Step 3: Cross multiply
    2,165.64x = 3,248.10 × 704.58
  4. Step 4: Simplify right side
    2,165.64x = 2,288,546.30
  5. Step 5: Solve for x
    x = 2,288,546.30/2,165.64
  6. Step 6: Final answer
    x = 1,056.75

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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.