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Finding the Fourth Proportional to 3,255.71, 4,884.36 and 915.71

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Solution

The fourth proportional to 3,255.71, 4,884.36 and 915.71 is: 1,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.71 : 4,884.36 = 915.71 : x
  2. Step 2: Convert to fraction form
    3,255.71/4,884.36 = 915.71/x
  3. Step 3: Cross multiply
    3,255.71x = 4,884.36 × 915.71
  4. Step 4: Simplify right side
    3,255.71x = 4,472,632.87
  5. Step 5: Solve for x
    x = 4,472,632.87/3,255.71
  6. Step 6: Final answer
    x = 1,373.78

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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.