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Finding the Fourth Proportional to 3,230.94, 4,457.18 and 2,035.38

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Solution

The fourth proportional to 3,230.94, 4,457.18 and 2,035.38 is: 2,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.94 : 4,457.18 = 2,035.38 : x
  2. Step 2: Convert to fraction form
    3,230.94/4,457.18 = 2,035.38/x
  3. Step 3: Cross multiply
    3,230.94x = 4,457.18 × 2,035.38
  4. Step 4: Simplify right side
    3,230.94x = 9,072,040.31
  5. Step 5: Solve for x
    x = 9,072,040.31/3,230.94
  6. Step 6: Final answer
    x = 2,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.