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Finding the Fourth Proportional to 2,237.64, 3,353.57 and 919.81

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Solution

The fourth proportional to 2,237.64, 3,353.57 and 919.81 is: 1,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.64 : 3,353.57 = 919.81 : x
  2. Step 2: Convert to fraction form
    2,237.64/3,353.57 = 919.81/x
  3. Step 3: Cross multiply
    2,237.64x = 3,353.57 × 919.81
  4. Step 4: Simplify right side
    2,237.64x = 3,084,647.22
  5. Step 5: Solve for x
    x = 3,084,647.22/2,237.64
  6. Step 6: Final answer
    x = 1,378.53

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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.