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Finding the Fourth Proportional to 2,796.96, 4,194.72 and 1,064.64

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Solution

The fourth proportional to 2,796.96, 4,194.72 and 1,064.64 is: 1,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.96 : 4,194.72 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    2,796.96/4,194.72 = 1,064.64/x
  3. Step 3: Cross multiply
    2,796.96x = 4,194.72 × 1,064.64
  4. Step 4: Simplify right side
    2,796.96x = 4,465,866.70
  5. Step 5: Solve for x
    x = 4,465,866.70/2,796.96
  6. Step 6: Final answer
    x = 1,596.69

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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.