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Finding the Fourth Proportional to 4,606.33, 6,910.65 and 1,319.68

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Solution

The fourth proportional to 4,606.33, 6,910.65 and 1,319.68 is: 1,979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.33 : 6,910.65 = 1,319.68 : x
  2. Step 2: Convert to fraction form
    4,606.33/6,910.65 = 1,319.68/x
  3. Step 3: Cross multiply
    4,606.33x = 6,910.65 × 1,319.68
  4. Step 4: Simplify right side
    4,606.33x = 9,119,846.59
  5. Step 5: Solve for x
    x = 9,119,846.59/4,606.33
  6. Step 6: Final answer
    x = 1,979.85

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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.