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Finding the Fourth Proportional to 1,518.87, 2,278.37 and 423.33

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Solution

The fourth proportional to 1,518.87, 2,278.37 and 423.33 is: 635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.87 : 2,278.37 = 423.33 : x
  2. Step 2: Convert to fraction form
    1,518.87/2,278.37 = 423.33/x
  3. Step 3: Cross multiply
    1,518.87x = 2,278.37 × 423.33
  4. Step 4: Simplify right side
    1,518.87x = 964,500.26
  5. Step 5: Solve for x
    x = 964,500.26/1,518.87
  6. Step 6: Final answer
    x = 635.01

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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.