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Finding the Fourth Proportional to 2,796.84, 4,197.15 and 1,065.42

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Solution

The fourth proportional to 2,796.84, 4,197.15 and 1,065.42 is: 1,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.84 : 4,197.15 = 1,065.42 : x
  2. Step 2: Convert to fraction form
    2,796.84/4,197.15 = 1,065.42/x
  3. Step 3: Cross multiply
    2,796.84x = 4,197.15 × 1,065.42
  4. Step 4: Simplify right side
    2,796.84x = 4,471,727.55
  5. Step 5: Solve for x
    x = 4,471,727.55/2,796.84
  6. Step 6: Final answer
    x = 1,598.85

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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.