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Finding the Fourth Proportional to 3,285.38, 4,928.88 and 976.88

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Solution

The fourth proportional to 3,285.38, 4,928.88 and 976.88 is: 1,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.38 : 4,928.88 = 976.88 : x
  2. Step 2: Convert to fraction form
    3,285.38/4,928.88 = 976.88/x
  3. Step 3: Cross multiply
    3,285.38x = 4,928.88 × 976.88
  4. Step 4: Simplify right side
    3,285.38x = 4,814,924.29
  5. Step 5: Solve for x
    x = 4,814,924.29/3,285.38
  6. Step 6: Final answer
    x = 1,465.56

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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.