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Finding the Fourth Proportional to 3,076.92, 4,614.57 and 885.74

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Solution

The fourth proportional to 3,076.92, 4,614.57 and 885.74 is: 1,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.92 : 4,614.57 = 885.74 : x
  2. Step 2: Convert to fraction form
    3,076.92/4,614.57 = 885.74/x
  3. Step 3: Cross multiply
    3,076.92x = 4,614.57 × 885.74
  4. Step 4: Simplify right side
    3,076.92x = 4,087,286.16
  5. Step 5: Solve for x
    x = 4,087,286.16/3,076.92
  6. Step 6: Final answer
    x = 1,328.37

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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.