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Finding the Fourth Proportional to 2,574.12, 3,863.12 and 1,696.32

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Solution

The fourth proportional to 2,574.12, 3,863.12 and 1,696.32 is: 2,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.12 : 3,863.12 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    2,574.12/3,863.12 = 1,696.32/x
  3. Step 3: Cross multiply
    2,574.12x = 3,863.12 × 1,696.32
  4. Step 4: Simplify right side
    2,574.12x = 6,553,087.72
  5. Step 5: Solve for x
    x = 6,553,087.72/2,574.12
  6. Step 6: Final answer
    x = 2,545.76

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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.