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Finding the Fourth Proportional to 2,253.66, 3,380.73 and 693.66

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Solution

The fourth proportional to 2,253.66, 3,380.73 and 693.66 is: 1,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.66 : 3,380.73 = 693.66 : x
  2. Step 2: Convert to fraction form
    2,253.66/3,380.73 = 693.66/x
  3. Step 3: Cross multiply
    2,253.66x = 3,380.73 × 693.66
  4. Step 4: Simplify right side
    2,253.66x = 2,345,077.17
  5. Step 5: Solve for x
    x = 2,345,077.17/2,253.66
  6. Step 6: Final answer
    x = 1,040.56

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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.