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Finding the Fourth Proportional to 2,165.48, 3,248.46 and 704.36

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Solution

The fourth proportional to 2,165.48, 3,248.46 and 704.36 is: 1,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.48 : 3,248.46 = 704.36 : x
  2. Step 2: Convert to fraction form
    2,165.48/3,248.46 = 704.36/x
  3. Step 3: Cross multiply
    2,165.48x = 3,248.46 × 704.36
  4. Step 4: Simplify right side
    2,165.48x = 2,288,085.29
  5. Step 5: Solve for x
    x = 2,288,085.29/2,165.48
  6. Step 6: Final answer
    x = 1,056.62

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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.