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Finding the Fourth Proportional to 2,296.76, 3,441.02 and 1,515.60

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Solution

The fourth proportional to 2,296.76, 3,441.02 and 1,515.60 is: 2,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.76 : 3,441.02 = 1,515.60 : x
  2. Step 2: Convert to fraction form
    2,296.76/3,441.02 = 1,515.60/x
  3. Step 3: Cross multiply
    2,296.76x = 3,441.02 × 1,515.60
  4. Step 4: Simplify right side
    2,296.76x = 5,215,202.33
  5. Step 5: Solve for x
    x = 5,215,202.33/2,296.76
  6. Step 6: Final answer
    x = 2,270.68

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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.