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Finding the Fourth Proportional to 3,301.70, 4,951.35 and 1,657.70

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Solution

The fourth proportional to 3,301.70, 4,951.35 and 1,657.70 is: 2,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.70 : 4,951.35 = 1,657.70 : x
  2. Step 2: Convert to fraction form
    3,301.70/4,951.35 = 1,657.70/x
  3. Step 3: Cross multiply
    3,301.70x = 4,951.35 × 1,657.70
  4. Step 4: Simplify right side
    3,301.70x = 8,207,852.90
  5. Step 5: Solve for x
    x = 8,207,852.90/3,301.70
  6. Step 6: Final answer
    x = 2,485.95

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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.