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Finding the Fourth Proportional to 2,237.70, 3,357.70 and 1,693.22

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Solution

The fourth proportional to 2,237.70, 3,357.70 and 1,693.22 is: 2,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.70 : 3,357.70 = 1,693.22 : x
  2. Step 2: Convert to fraction form
    2,237.70/3,357.70 = 1,693.22/x
  3. Step 3: Cross multiply
    2,237.70x = 3,357.70 × 1,693.22
  4. Step 4: Simplify right side
    2,237.70x = 5,685,324.79
  5. Step 5: Solve for x
    x = 5,685,324.79/2,237.70
  6. Step 6: Final answer
    x = 2,540.70

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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.