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Finding the Fourth Proportional to 2,322.91, 3,485.50 and 937.25

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Solution

The fourth proportional to 2,322.91, 3,485.50 and 937.25 is: 1,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.91 : 3,485.50 = 937.25 : x
  2. Step 2: Convert to fraction form
    2,322.91/3,485.50 = 937.25/x
  3. Step 3: Cross multiply
    2,322.91x = 3,485.50 × 937.25
  4. Step 4: Simplify right side
    2,322.91x = 3,266,778.18
  5. Step 5: Solve for x
    x = 3,266,778.18/2,322.91
  6. Step 6: Final answer
    x = 1,406.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.