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Finding the Fourth Proportional to 3,640.70, 5,461.05 and 1,696.70

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Solution

The fourth proportional to 3,640.70, 5,461.05 and 1,696.70 is: 2,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.70 : 5,461.05 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    3,640.70/5,461.05 = 1,696.70/x
  3. Step 3: Cross multiply
    3,640.70x = 5,461.05 × 1,696.70
  4. Step 4: Simplify right side
    3,640.70x = 9,265,763.54
  5. Step 5: Solve for x
    x = 9,265,763.54/3,640.70
  6. Step 6: Final answer
    x = 2,545.05

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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.