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Finding the Fourth Proportional to 2,243.60, 3,364.72 and 944.76

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Solution

The fourth proportional to 2,243.60, 3,364.72 and 944.76 is: 1,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.60 : 3,364.72 = 944.76 : x
  2. Step 2: Convert to fraction form
    2,243.60/3,364.72 = 944.76/x
  3. Step 3: Cross multiply
    2,243.60x = 3,364.72 × 944.76
  4. Step 4: Simplify right side
    2,243.60x = 3,178,852.87
  5. Step 5: Solve for x
    x = 3,178,852.87/2,243.60
  6. Step 6: Final answer
    x = 1,416.85

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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.