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Finding the Fourth Proportional to 1,944.61, 2,917.38 and 905.32

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Solution

The fourth proportional to 1,944.61, 2,917.38 and 905.32 is: 1,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.61 : 2,917.38 = 905.32 : x
  2. Step 2: Convert to fraction form
    1,944.61/2,917.38 = 905.32/x
  3. Step 3: Cross multiply
    1,944.61x = 2,917.38 × 905.32
  4. Step 4: Simplify right side
    1,944.61x = 2,641,162.46
  5. Step 5: Solve for x
    x = 2,641,162.46/1,944.61
  6. Step 6: Final answer
    x = 1,358.20

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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.