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Finding the Fourth Proportional to 2,217.02, 3,325.44 and 755.78

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Solution

The fourth proportional to 2,217.02, 3,325.44 and 755.78 is: 1,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.02 : 3,325.44 = 755.78 : x
  2. Step 2: Convert to fraction form
    2,217.02/3,325.44 = 755.78/x
  3. Step 3: Cross multiply
    2,217.02x = 3,325.44 × 755.78
  4. Step 4: Simplify right side
    2,217.02x = 2,513,301.04
  5. Step 5: Solve for x
    x = 2,513,301.04/2,217.02
  6. Step 6: Final answer
    x = 1,133.64

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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.