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Finding the Fourth Proportional to 2,324.24, 3,485.19 and 843.39

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Solution

The fourth proportional to 2,324.24, 3,485.19 and 843.39 is: 1,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.24 : 3,485.19 = 843.39 : x
  2. Step 2: Convert to fraction form
    2,324.24/3,485.19 = 843.39/x
  3. Step 3: Cross multiply
    2,324.24x = 3,485.19 × 843.39
  4. Step 4: Simplify right side
    2,324.24x = 2,939,374.39
  5. Step 5: Solve for x
    x = 2,939,374.39/2,324.24
  6. Step 6: Final answer
    x = 1,264.66

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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.