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Finding the Fourth Proportional to 1,626.87, 2,441.05 and 587.29

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Solution

The fourth proportional to 1,626.87, 2,441.05 and 587.29 is: 881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.87 : 2,441.05 = 587.29 : x
  2. Step 2: Convert to fraction form
    1,626.87/2,441.05 = 587.29/x
  3. Step 3: Cross multiply
    1,626.87x = 2,441.05 × 587.29
  4. Step 4: Simplify right side
    1,626.87x = 1,433,604.25
  5. Step 5: Solve for x
    x = 1,433,604.25/1,626.87
  6. Step 6: Final answer
    x = 881.20

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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.