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Finding the Fourth Proportional to 2,708.81, 4,062.70 and 1,320.75

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Solution

The fourth proportional to 2,708.81, 4,062.70 and 1,320.75 is: 1,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.81 : 4,062.70 = 1,320.75 : x
  2. Step 2: Convert to fraction form
    2,708.81/4,062.70 = 1,320.75/x
  3. Step 3: Cross multiply
    2,708.81x = 4,062.70 × 1,320.75
  4. Step 4: Simplify right side
    2,708.81x = 5,365,811.03
  5. Step 5: Solve for x
    x = 5,365,811.03/2,708.81
  6. Step 6: Final answer
    x = 1,980.87

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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.