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Finding the Fourth Proportional to 3,276.76, 4,915.46 and 968.92

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Solution

The fourth proportional to 3,276.76, 4,915.46 and 968.92 is: 1,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.76 : 4,915.46 = 968.92 : x
  2. Step 2: Convert to fraction form
    3,276.76/4,915.46 = 968.92/x
  3. Step 3: Cross multiply
    3,276.76x = 4,915.46 × 968.92
  4. Step 4: Simplify right side
    3,276.76x = 4,762,687.50
  5. Step 5: Solve for x
    x = 4,762,687.50/3,276.76
  6. Step 6: Final answer
    x = 1,453.47

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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.