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Finding the Fourth Proportional to 2,265.24, 3,395.69 and 803.60

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Solution

The fourth proportional to 2,265.24, 3,395.69 and 803.60 is: 1,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.24 : 3,395.69 = 803.60 : x
  2. Step 2: Convert to fraction form
    2,265.24/3,395.69 = 803.60/x
  3. Step 3: Cross multiply
    2,265.24x = 3,395.69 × 803.60
  4. Step 4: Simplify right side
    2,265.24x = 2,728,771.23
  5. Step 5: Solve for x
    x = 2,728,771.23/2,265.24
  6. Step 6: Final answer
    x = 1,204.63

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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.