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Finding the Fourth Proportional to 3,304.90, 4,950.44 and 1,984.46

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Solution

The fourth proportional to 3,304.90, 4,950.44 and 1,984.46 is: 2,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.90 : 4,950.44 = 1,984.46 : x
  2. Step 2: Convert to fraction form
    3,304.90/4,950.44 = 1,984.46/x
  3. Step 3: Cross multiply
    3,304.90x = 4,950.44 × 1,984.46
  4. Step 4: Simplify right side
    3,304.90x = 9,823,950.16
  5. Step 5: Solve for x
    x = 9,823,950.16/3,304.90
  6. Step 6: Final answer
    x = 2,972.54

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1.5x scale

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.