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Finding the Fourth Proportional to 2,558.31, 3,837.02 and 684.23

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Solution

The fourth proportional to 2,558.31, 3,837.02 and 684.23 is: 1,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.31 : 3,837.02 = 684.23 : x
  2. Step 2: Convert to fraction form
    2,558.31/3,837.02 = 684.23/x
  3. Step 3: Cross multiply
    2,558.31x = 3,837.02 × 684.23
  4. Step 4: Simplify right side
    2,558.31x = 2,625,404.19
  5. Step 5: Solve for x
    x = 2,625,404.19/2,558.31
  6. Step 6: Final answer
    x = 1,026.23

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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.