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Finding the Fourth Proportional to 2,235.73, 3,083.90 and 1,440.08

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Solution

The fourth proportional to 2,235.73, 3,083.90 and 1,440.08 is: 1,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.73 : 3,083.90 = 1,440.08 : x
  2. Step 2: Convert to fraction form
    2,235.73/3,083.90 = 1,440.08/x
  3. Step 3: Cross multiply
    2,235.73x = 3,083.90 × 1,440.08
  4. Step 4: Simplify right side
    2,235.73x = 4,441,074.02
  5. Step 5: Solve for x
    x = 4,441,074.02/2,235.73
  6. Step 6: Final answer
    x = 1,986.41

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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.