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Finding the Fourth Proportional to 2,247.70, 3,370.69 and 687.23

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Solution

The fourth proportional to 2,247.70, 3,370.69 and 687.23 is: 1,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.70 : 3,370.69 = 687.23 : x
  2. Step 2: Convert to fraction form
    2,247.70/3,370.69 = 687.23/x
  3. Step 3: Cross multiply
    2,247.70x = 3,370.69 × 687.23
  4. Step 4: Simplify right side
    2,247.70x = 2,316,439.29
  5. Step 5: Solve for x
    x = 2,316,439.29/2,247.70
  6. Step 6: Final answer
    x = 1,030.58

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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.