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Finding the Fourth Proportional to 2,572.94, 3,864.69 and 1,696.70

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Solution

The fourth proportional to 2,572.94, 3,864.69 and 1,696.70 is: 2,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.94 : 3,864.69 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    2,572.94/3,864.69 = 1,696.70/x
  3. Step 3: Cross multiply
    2,572.94x = 3,864.69 × 1,696.70
  4. Step 4: Simplify right side
    2,572.94x = 6,557,229.18
  5. Step 5: Solve for x
    x = 6,557,229.18/2,572.94
  6. Step 6: Final answer
    x = 2,548.53

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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.