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Finding the Fourth Proportional to 1,944.24, 2,914.73 and 773.51

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Solution

The fourth proportional to 1,944.24, 2,914.73 and 773.51 is: 1,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.24 : 2,914.73 = 773.51 : x
  2. Step 2: Convert to fraction form
    1,944.24/2,914.73 = 773.51/x
  3. Step 3: Cross multiply
    1,944.24x = 2,914.73 × 773.51
  4. Step 4: Simplify right side
    1,944.24x = 2,254,554.36
  5. Step 5: Solve for x
    x = 2,254,554.36/1,944.24
  6. Step 6: Final answer
    x = 1,159.61

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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.