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Finding the Fourth Proportional to 1,944.57, 2,917.76 and 971.31

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Solution

The fourth proportional to 1,944.57, 2,917.76 and 971.31 is: 1,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.57 : 2,917.76 = 971.31 : x
  2. Step 2: Convert to fraction form
    1,944.57/2,917.76 = 971.31/x
  3. Step 3: Cross multiply
    1,944.57x = 2,917.76 × 971.31
  4. Step 4: Simplify right side
    1,944.57x = 2,834,049.47
  5. Step 5: Solve for x
    x = 2,834,049.47/1,944.57
  6. Step 6: Final answer
    x = 1,457.42

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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.