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Finding the Fourth Proportional to 1,518.91, 2,278.35 and 423.27

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Solution

The fourth proportional to 1,518.91, 2,278.35 and 423.27 is: 634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.91 : 2,278.35 = 423.27 : x
  2. Step 2: Convert to fraction form
    1,518.91/2,278.35 = 423.27/x
  3. Step 3: Cross multiply
    1,518.91x = 2,278.35 × 423.27
  4. Step 4: Simplify right side
    1,518.91x = 964,357.20
  5. Step 5: Solve for x
    x = 964,357.20/1,518.91
  6. Step 6: Final answer
    x = 634.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.