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Finding the Fourth Proportional to 2,381.80, 3,571.48 and 921.36

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Solution

The fourth proportional to 2,381.80, 3,571.48 and 921.36 is: 1,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.80 : 3,571.48 = 921.36 : x
  2. Step 2: Convert to fraction form
    2,381.80/3,571.48 = 921.36/x
  3. Step 3: Cross multiply
    2,381.80x = 3,571.48 × 921.36
  4. Step 4: Simplify right side
    2,381.80x = 3,290,618.81
  5. Step 5: Solve for x
    x = 3,290,618.81/2,381.80
  6. Step 6: Final answer
    x = 1,381.57

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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.