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Finding the Fourth Proportional to 3,110.96, 4,293.14 and 1,713.71

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Solution

The fourth proportional to 3,110.96, 4,293.14 and 1,713.71 is: 2,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.96 : 4,293.14 = 1,713.71 : x
  2. Step 2: Convert to fraction form
    3,110.96/4,293.14 = 1,713.71/x
  3. Step 3: Cross multiply
    3,110.96x = 4,293.14 × 1,713.71
  4. Step 4: Simplify right side
    3,110.96x = 7,357,166.92
  5. Step 5: Solve for x
    x = 7,357,166.92/3,110.96
  6. Step 6: Final answer
    x = 2,364.92

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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.