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Finding the Fourth Proportional to 2,704.64, 4,056.96 and 1,165.64

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Solution

The fourth proportional to 2,704.64, 4,056.96 and 1,165.64 is: 1,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.64 : 4,056.96 = 1,165.64 : x
  2. Step 2: Convert to fraction form
    2,704.64/4,056.96 = 1,165.64/x
  3. Step 3: Cross multiply
    2,704.64x = 4,056.96 × 1,165.64
  4. Step 4: Simplify right side
    2,704.64x = 4,728,954.85
  5. Step 5: Solve for x
    x = 4,728,954.85/2,704.64
  6. Step 6: Final answer
    x = 1,748.46

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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.