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Finding the Fourth Proportional to 2,165.23, 3,248.06 and 704.04

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Solution

The fourth proportional to 2,165.23, 3,248.06 and 704.04 is: 1,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.23 : 3,248.06 = 704.04 : x
  2. Step 2: Convert to fraction form
    2,165.23/3,248.06 = 704.04/x
  3. Step 3: Cross multiply
    2,165.23x = 3,248.06 × 704.04
  4. Step 4: Simplify right side
    2,165.23x = 2,286,747.92
  5. Step 5: Solve for x
    x = 2,286,747.92/2,165.23
  6. Step 6: Final answer
    x = 1,056.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.