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Finding the Fourth Proportional to 2,324.40, 3,485.69 and 937.48

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Solution

The fourth proportional to 2,324.40, 3,485.69 and 937.48 is: 1,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.40 : 3,485.69 = 937.48 : x
  2. Step 2: Convert to fraction form
    2,324.40/3,485.69 = 937.48/x
  3. Step 3: Cross multiply
    2,324.40x = 3,485.69 × 937.48
  4. Step 4: Simplify right side
    2,324.40x = 3,267,751.26
  5. Step 5: Solve for x
    x = 3,267,751.26/2,324.40
  6. Step 6: Final answer
    x = 1,405.85

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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.