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Finding the Fourth Proportional to 2,626.34, 3,624.36 and 1,578.42

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Solution

The fourth proportional to 2,626.34, 3,624.36 and 1,578.42 is: 2,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.34 : 3,624.36 = 1,578.42 : x
  2. Step 2: Convert to fraction form
    2,626.34/3,624.36 = 1,578.42/x
  3. Step 3: Cross multiply
    2,626.34x = 3,624.36 × 1,578.42
  4. Step 4: Simplify right side
    2,626.34x = 5,720,762.31
  5. Step 5: Solve for x
    x = 5,720,762.31/2,626.34
  6. Step 6: Final answer
    x = 2,178.23

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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.