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Finding the Fourth Proportional to 2,836.71, 4,255.27 and 756.70

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Solution

The fourth proportional to 2,836.71, 4,255.27 and 756.70 is: 1,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.71 : 4,255.27 = 756.70 : x
  2. Step 2: Convert to fraction form
    2,836.71/4,255.27 = 756.70/x
  3. Step 3: Cross multiply
    2,836.71x = 4,255.27 × 756.70
  4. Step 4: Simplify right side
    2,836.71x = 3,219,962.81
  5. Step 5: Solve for x
    x = 3,219,962.81/2,836.71
  6. Step 6: Final answer
    x = 1,135.10

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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.