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Finding the Fourth Proportional to 3,288.70, 4,930.66 and 1,313.74

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Solution

The fourth proportional to 3,288.70, 4,930.66 and 1,313.74 is: 1,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.70 : 4,930.66 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    3,288.70/4,930.66 = 1,313.74/x
  3. Step 3: Cross multiply
    3,288.70x = 4,930.66 × 1,313.74
  4. Step 4: Simplify right side
    3,288.70x = 6,477,577.95
  5. Step 5: Solve for x
    x = 6,477,577.95/3,288.70
  6. Step 6: Final answer
    x = 1,969.65

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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.