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Finding the Fourth Proportional to 1,410.96, 1,945.65 and 991.18

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Solution

The fourth proportional to 1,410.96, 1,945.65 and 991.18 is: 1,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 1,945.65 = 991.18 : x
  2. Step 2: Convert to fraction form
    1,410.96/1,945.65 = 991.18/x
  3. Step 3: Cross multiply
    1,410.96x = 1,945.65 × 991.18
  4. Step 4: Simplify right side
    1,410.96x = 1,928,489.37
  5. Step 5: Solve for x
    x = 1,928,489.37/1,410.96
  6. Step 6: Final answer
    x = 1,366.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.