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Finding the Fourth Proportional to 2,297.47, 3,441.83 and 1,515.15

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Solution

The fourth proportional to 2,297.47, 3,441.83 and 1,515.15 is: 2,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.47 : 3,441.83 = 1,515.15 : x
  2. Step 2: Convert to fraction form
    2,297.47/3,441.83 = 1,515.15/x
  3. Step 3: Cross multiply
    2,297.47x = 3,441.83 × 1,515.15
  4. Step 4: Simplify right side
    2,297.47x = 5,214,890.95
  5. Step 5: Solve for x
    x = 5,214,890.95/2,297.47
  6. Step 6: Final answer
    x = 2,269.84

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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.