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Finding the Fourth Proportional to 2,626.14, 3,625.20 and 1,578

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Solution

The fourth proportional to 2,626.14, 3,625.20 and 1,578 is: 2,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.14 : 3,625.20 = 1,578 : x
  2. Step 2: Convert to fraction form
    2,626.14/3,625.20 = 1,578/x
  3. Step 3: Cross multiply
    2,626.14x = 3,625.20 × 1,578
  4. Step 4: Simplify right side
    2,626.14x = 5,720,565.60
  5. Step 5: Solve for x
    x = 5,720,565.60/2,626.14
  6. Step 6: Final answer
    x = 2,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.