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Finding the Fourth Proportional to 3,298.50, 4,948.83 and 1,349.64

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Solution

The fourth proportional to 3,298.50, 4,948.83 and 1,349.64 is: 2,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.50 : 4,948.83 = 1,349.64 : x
  2. Step 2: Convert to fraction form
    3,298.50/4,948.83 = 1,349.64/x
  3. Step 3: Cross multiply
    3,298.50x = 4,948.83 × 1,349.64
  4. Step 4: Simplify right side
    3,298.50x = 6,679,138.92
  5. Step 5: Solve for x
    x = 6,679,138.92/3,298.50
  6. Step 6: Final answer
    x = 2,024.90

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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.