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Finding the Fourth Proportional to 2,965.37, 4,448.86 and 885.37

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Solution

The fourth proportional to 2,965.37, 4,448.86 and 885.37 is: 1,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.37 : 4,448.86 = 885.37 : x
  2. Step 2: Convert to fraction form
    2,965.37/4,448.86 = 885.37/x
  3. Step 3: Cross multiply
    2,965.37x = 4,448.86 × 885.37
  4. Step 4: Simplify right side
    2,965.37x = 3,938,887.18
  5. Step 5: Solve for x
    x = 3,938,887.18/2,965.37
  6. Step 6: Final answer
    x = 1,328.30

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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.