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Finding the Fourth Proportional to 1,519.79, 2,279.70 and 642.30

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Solution

The fourth proportional to 1,519.79, 2,279.70 and 642.30 is: 963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.79 : 2,279.70 = 642.30 : x
  2. Step 2: Convert to fraction form
    1,519.79/2,279.70 = 642.30/x
  3. Step 3: Cross multiply
    1,519.79x = 2,279.70 × 642.30
  4. Step 4: Simplify right side
    1,519.79x = 1,464,251.31
  5. Step 5: Solve for x
    x = 1,464,251.31/1,519.79
  6. Step 6: Final answer
    x = 963.46

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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.