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Finding the Fourth Proportional to 2,135.22, 3,203.45 and 885.59

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Solution

The fourth proportional to 2,135.22, 3,203.45 and 885.59 is: 1,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.22 : 3,203.45 = 885.59 : x
  2. Step 2: Convert to fraction form
    2,135.22/3,203.45 = 885.59/x
  3. Step 3: Cross multiply
    2,135.22x = 3,203.45 × 885.59
  4. Step 4: Simplify right side
    2,135.22x = 2,836,929.48
  5. Step 5: Solve for x
    x = 2,836,929.48/2,135.22
  6. Step 6: Final answer
    x = 1,328.63

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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.