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Finding the Fourth Proportional to 2,626, 3,624.24 and 1,522

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Solution

The fourth proportional to 2,626, 3,624.24 and 1,522 is: 2,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626 : 3,624.24 = 1,522 : x
  2. Step 2: Convert to fraction form
    2,626/3,624.24 = 1,522/x
  3. Step 3: Cross multiply
    2,626x = 3,624.24 × 1,522
  4. Step 4: Simplify right side
    2,626x = 5,516,093.28
  5. Step 5: Solve for x
    x = 5,516,093.28/2,626
  6. Step 6: Final answer
    x = 2,100.57

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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.