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Finding the Fourth Proportional to 2,165.16, 3,247.32 and 704.52

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Solution

The fourth proportional to 2,165.16, 3,247.32 and 704.52 is: 1,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.16 : 3,247.32 = 704.52 : x
  2. Step 2: Convert to fraction form
    2,165.16/3,247.32 = 704.52/x
  3. Step 3: Cross multiply
    2,165.16x = 3,247.32 × 704.52
  4. Step 4: Simplify right side
    2,165.16x = 2,287,801.89
  5. Step 5: Solve for x
    x = 2,287,801.89/2,165.16
  6. Step 6: Final answer
    x = 1,056.64

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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.