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Finding the Fourth Proportional to 1,944.19, 2,917.47 and 774.75

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Solution

The fourth proportional to 1,944.19, 2,917.47 and 774.75 is: 1,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.19 : 2,917.47 = 774.75 : x
  2. Step 2: Convert to fraction form
    1,944.19/2,917.47 = 774.75/x
  3. Step 3: Cross multiply
    1,944.19x = 2,917.47 × 774.75
  4. Step 4: Simplify right side
    1,944.19x = 2,260,302.96
  5. Step 5: Solve for x
    x = 2,260,302.96/1,944.19
  6. Step 6: Final answer
    x = 1,162.60

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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.