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Finding the Fourth Proportional to 2,297.58, 3,440.50 and 1,515.21

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Solution

The fourth proportional to 2,297.58, 3,440.50 and 1,515.21 is: 2,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,440.50 = 1,515.21 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,440.50 = 1,515.21/x
  3. Step 3: Cross multiply
    2,297.58x = 3,440.50 × 1,515.21
  4. Step 4: Simplify right side
    2,297.58x = 5,213,080.01
  5. Step 5: Solve for x
    x = 5,213,080.01/2,297.58
  6. Step 6: Final answer
    x = 2,268.94

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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.