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Finding the Fourth Proportional to 2,910.68, 4,366.68 and 830.71

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Solution

The fourth proportional to 2,910.68, 4,366.68 and 830.71 is: 1,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.68 : 4,366.68 = 830.71 : x
  2. Step 2: Convert to fraction form
    2,910.68/4,366.68 = 830.71/x
  3. Step 3: Cross multiply
    2,910.68x = 4,366.68 × 830.71
  4. Step 4: Simplify right side
    2,910.68x = 3,627,429.53
  5. Step 5: Solve for x
    x = 3,627,429.53/2,910.68
  6. Step 6: Final answer
    x = 1,246.25

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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.