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Finding the Fourth Proportional to 3,301.02, 4,951.71 and 835.86

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Solution

The fourth proportional to 3,301.02, 4,951.71 and 835.86 is: 1,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.02 : 4,951.71 = 835.86 : x
  2. Step 2: Convert to fraction form
    3,301.02/4,951.71 = 835.86/x
  3. Step 3: Cross multiply
    3,301.02x = 4,951.71 × 835.86
  4. Step 4: Simplify right side
    3,301.02x = 4,138,954.35
  5. Step 5: Solve for x
    x = 4,138,954.35/3,301.02
  6. Step 6: Final answer
    x = 1,253.84

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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.