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Finding the Fourth Proportional to 4,606.71, 6,910.98 and 1,319.82

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Solution

The fourth proportional to 4,606.71, 6,910.98 and 1,319.82 is: 1,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.71 : 6,910.98 = 1,319.82 : x
  2. Step 2: Convert to fraction form
    4,606.71/6,910.98 = 1,319.82/x
  3. Step 3: Cross multiply
    4,606.71x = 6,910.98 × 1,319.82
  4. Step 4: Simplify right side
    4,606.71x = 9,121,249.62
  5. Step 5: Solve for x
    x = 9,121,249.62/4,606.71
  6. Step 6: Final answer
    x = 1,979.99

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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.