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Finding the Fourth Proportional to 2,233.71, 3,347.64 and 1,684.26

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Solution

The fourth proportional to 2,233.71, 3,347.64 and 1,684.26 is: 2,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.71 : 3,347.64 = 1,684.26 : x
  2. Step 2: Convert to fraction form
    2,233.71/3,347.64 = 1,684.26/x
  3. Step 3: Cross multiply
    2,233.71x = 3,347.64 × 1,684.26
  4. Step 4: Simplify right side
    2,233.71x = 5,638,296.15
  5. Step 5: Solve for x
    x = 5,638,296.15/2,233.71
  6. Step 6: Final answer
    x = 2,524.18

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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.