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Finding the Fourth Proportional to 2,327.60, 3,491.81 and 922.25

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Solution

The fourth proportional to 2,327.60, 3,491.81 and 922.25 is: 1,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.60 : 3,491.81 = 922.25 : x
  2. Step 2: Convert to fraction form
    2,327.60/3,491.81 = 922.25/x
  3. Step 3: Cross multiply
    2,327.60x = 3,491.81 × 922.25
  4. Step 4: Simplify right side
    2,327.60x = 3,220,317.16
  5. Step 5: Solve for x
    x = 3,220,317.16/2,327.60
  6. Step 6: Final answer
    x = 1,383.54

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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.