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Finding the Fourth Proportional to 1,945.71, 2,919.68 and 712.96

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Solution

The fourth proportional to 1,945.71, 2,919.68 and 712.96 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.71 : 2,919.68 = 712.96 : x
  2. Step 2: Convert to fraction form
    1,945.71/2,919.68 = 712.96/x
  3. Step 3: Cross multiply
    1,945.71x = 2,919.68 × 712.96
  4. Step 4: Simplify right side
    1,945.71x = 2,081,606.86
  5. Step 5: Solve for x
    x = 2,081,606.86/1,945.71
  6. Step 6: Final answer
    x = 1,069.84

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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.