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Finding the Fourth Proportional to 3,318.35, 4,578.50 and 2,138

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Solution

The fourth proportional to 3,318.35, 4,578.50 and 2,138 is: 2,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.35 : 4,578.50 = 2,138 : x
  2. Step 2: Convert to fraction form
    3,318.35/4,578.50 = 2,138/x
  3. Step 3: Cross multiply
    3,318.35x = 4,578.50 × 2,138
  4. Step 4: Simplify right side
    3,318.35x = 9,788,822.31
  5. Step 5: Solve for x
    x = 9,788,822.31/3,318.35
  6. Step 6: Final answer
    x = 2,949.91

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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.