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Finding the Fourth Proportional to 2,864.94, 4,298.24 and 1,199.85

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Solution

The fourth proportional to 2,864.94, 4,298.24 and 1,199.85 is: 1,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.94 : 4,298.24 = 1,199.85 : x
  2. Step 2: Convert to fraction form
    2,864.94/4,298.24 = 1,199.85/x
  3. Step 3: Cross multiply
    2,864.94x = 4,298.24 × 1,199.85
  4. Step 4: Simplify right side
    2,864.94x = 5,157,243.26
  5. Step 5: Solve for x
    x = 5,157,243.26/2,864.94
  6. Step 6: Final answer
    x = 1,800.12

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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.