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Finding the Fourth Proportional to 2,135.19, 3,202.29 and 673.98

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Solution

The fourth proportional to 2,135.19, 3,202.29 and 673.98 is: 1,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.19 : 3,202.29 = 673.98 : x
  2. Step 2: Convert to fraction form
    2,135.19/3,202.29 = 673.98/x
  3. Step 3: Cross multiply
    2,135.19x = 3,202.29 × 673.98
  4. Step 4: Simplify right side
    2,135.19x = 2,158,279.41
  5. Step 5: Solve for x
    x = 2,158,279.41/2,135.19
  6. Step 6: Final answer
    x = 1,010.81

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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.