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Finding the Fourth Proportional to 1,378.45, 2,066.60 and 944.29

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Solution

The fourth proportional to 1,378.45, 2,066.60 and 944.29 is: 1,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.45 : 2,066.60 = 944.29 : x
  2. Step 2: Convert to fraction form
    1,378.45/2,066.60 = 944.29/x
  3. Step 3: Cross multiply
    1,378.45x = 2,066.60 × 944.29
  4. Step 4: Simplify right side
    1,378.45x = 1,951,464.99
  5. Step 5: Solve for x
    x = 1,951,464.99/1,378.45
  6. Step 6: Final answer
    x = 1,415.70

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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.