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Finding the Fourth Proportional to 3,285.51, 4,930.23 and 1,310.79

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Solution

The fourth proportional to 3,285.51, 4,930.23 and 1,310.79 is: 1,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.51 : 4,930.23 = 1,310.79 : x
  2. Step 2: Convert to fraction form
    3,285.51/4,930.23 = 1,310.79/x
  3. Step 3: Cross multiply
    3,285.51x = 4,930.23 × 1,310.79
  4. Step 4: Simplify right side
    3,285.51x = 6,462,496.18
  5. Step 5: Solve for x
    x = 6,462,496.18/3,285.51
  6. Step 6: Final answer
    x = 1,966.97

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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.