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Finding the Fourth Proportional to 2,333.21, 3,218.81 and 1,702.22

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Solution

The fourth proportional to 2,333.21, 3,218.81 and 1,702.22 is: 2,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.21 : 3,218.81 = 1,702.22 : x
  2. Step 2: Convert to fraction form
    2,333.21/3,218.81 = 1,702.22/x
  3. Step 3: Cross multiply
    2,333.21x = 3,218.81 × 1,702.22
  4. Step 4: Simplify right side
    2,333.21x = 5,479,098.15
  5. Step 5: Solve for x
    x = 5,479,098.15/2,333.21
  6. Step 6: Final answer
    x = 2,348.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.