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Finding the Fourth Proportional to 1,933.48, 2,667.78 and 1,409.80

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Solution

The fourth proportional to 1,933.48, 2,667.78 and 1,409.80 is: 1,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.48 : 2,667.78 = 1,409.80 : x
  2. Step 2: Convert to fraction form
    1,933.48/2,667.78 = 1,409.80/x
  3. Step 3: Cross multiply
    1,933.48x = 2,667.78 × 1,409.80
  4. Step 4: Simplify right side
    1,933.48x = 3,761,036.24
  5. Step 5: Solve for x
    x = 3,761,036.24/1,933.48
  6. Step 6: Final answer
    x = 1,945.22

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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.