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Finding the Fourth Proportional to 2,708.93, 3,734.61 and 1,713.71

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Solution

The fourth proportional to 2,708.93, 3,734.61 and 1,713.71 is: 2,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.93 : 3,734.61 = 1,713.71 : x
  2. Step 2: Convert to fraction form
    2,708.93/3,734.61 = 1,713.71/x
  3. Step 3: Cross multiply
    2,708.93x = 3,734.61 × 1,713.71
  4. Step 4: Simplify right side
    2,708.93x = 6,400,019.83
  5. Step 5: Solve for x
    x = 6,400,019.83/2,708.93
  6. Step 6: Final answer
    x = 2,362.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.