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Finding the Fourth Proportional to 2,785.76, 4,179.12 and 837.68

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Solution

The fourth proportional to 2,785.76, 4,179.12 and 837.68 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.76 : 4,179.12 = 837.68 : x
  2. Step 2: Convert to fraction form
    2,785.76/4,179.12 = 837.68/x
  3. Step 3: Cross multiply
    2,785.76x = 4,179.12 × 837.68
  4. Step 4: Simplify right side
    2,785.76x = 3,500,765.24
  5. Step 5: Solve for x
    x = 3,500,765.24/2,785.76
  6. Step 6: Final answer
    x = 1,256.66

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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.