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Finding the Fourth Proportional to 3,297.46, 4,946.19 and 1,928.50

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Solution

The fourth proportional to 3,297.46, 4,946.19 and 1,928.50 is: 2,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.46 : 4,946.19 = 1,928.50 : x
  2. Step 2: Convert to fraction form
    3,297.46/4,946.19 = 1,928.50/x
  3. Step 3: Cross multiply
    3,297.46x = 4,946.19 × 1,928.50
  4. Step 4: Simplify right side
    3,297.46x = 9,538,727.42
  5. Step 5: Solve for x
    x = 9,538,727.42/3,297.46
  6. Step 6: Final answer
    x = 2,892.75

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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.