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Finding the Fourth Proportional to 1,519.09, 2,278.23 and 594.61

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Solution

The fourth proportional to 1,519.09, 2,278.23 and 594.61 is: 891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.09 : 2,278.23 = 594.61 : x
  2. Step 2: Convert to fraction form
    1,519.09/2,278.23 = 594.61/x
  3. Step 3: Cross multiply
    1,519.09x = 2,278.23 × 594.61
  4. Step 4: Simplify right side
    1,519.09x = 1,354,658.34
  5. Step 5: Solve for x
    x = 1,354,658.34/1,519.09
  6. Step 6: Final answer
    x = 891.76

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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.