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Finding the Fourth Proportional to 3,298.70, 4,948.02 and 1,107.42

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Solution

The fourth proportional to 3,298.70, 4,948.02 and 1,107.42 is: 1,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.70 : 4,948.02 = 1,107.42 : x
  2. Step 2: Convert to fraction form
    3,298.70/4,948.02 = 1,107.42/x
  3. Step 3: Cross multiply
    3,298.70x = 4,948.02 × 1,107.42
  4. Step 4: Simplify right side
    3,298.70x = 5,479,536.31
  5. Step 5: Solve for x
    x = 5,479,536.31/3,298.70
  6. Step 6: Final answer
    x = 1,661.12

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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.