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Finding the Fourth Proportional to 2,165.04, 3,247.92 and 704.16

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Solution

The fourth proportional to 2,165.04, 3,247.92 and 704.16 is: 1,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.04 : 3,247.92 = 704.16 : x
  2. Step 2: Convert to fraction form
    2,165.04/3,247.92 = 704.16/x
  3. Step 3: Cross multiply
    2,165.04x = 3,247.92 × 704.16
  4. Step 4: Simplify right side
    2,165.04x = 2,287,055.35
  5. Step 5: Solve for x
    x = 2,287,055.35/2,165.04
  6. Step 6: Final answer
    x = 1,056.36

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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.