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Finding the Fourth Proportional to 2,645.15, 3,968.33 and 890.37

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Solution

The fourth proportional to 2,645.15, 3,968.33 and 890.37 is: 1,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.15 : 3,968.33 = 890.37 : x
  2. Step 2: Convert to fraction form
    2,645.15/3,968.33 = 890.37/x
  3. Step 3: Cross multiply
    2,645.15x = 3,968.33 × 890.37
  4. Step 4: Simplify right side
    2,645.15x = 3,533,277.53
  5. Step 5: Solve for x
    x = 3,533,277.53/2,645.15
  6. Step 6: Final answer
    x = 1,335.76

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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.