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Finding the Fourth Proportional to 2,832.40, 3,899.44 and 2,233.80

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Solution

The fourth proportional to 2,832.40, 3,899.44 and 2,233.80 is: 3,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.40 : 3,899.44 = 2,233.80 : x
  2. Step 2: Convert to fraction form
    2,832.40/3,899.44 = 2,233.80/x
  3. Step 3: Cross multiply
    2,832.40x = 3,899.44 × 2,233.80
  4. Step 4: Simplify right side
    2,832.40x = 8,710,569.07
  5. Step 5: Solve for x
    x = 8,710,569.07/2,832.40
  6. Step 6: Final answer
    x = 3,075.33

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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.