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Finding the Fourth Proportional to 2,335.54, 3,223.18 and 1,287.60

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Solution

The fourth proportional to 2,335.54, 3,223.18 and 1,287.60 is: 1,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.54 : 3,223.18 = 1,287.60 : x
  2. Step 2: Convert to fraction form
    2,335.54/3,223.18 = 1,287.60/x
  3. Step 3: Cross multiply
    2,335.54x = 3,223.18 × 1,287.60
  4. Step 4: Simplify right side
    2,335.54x = 4,150,166.57
  5. Step 5: Solve for x
    x = 4,150,166.57/2,335.54
  6. Step 6: Final answer
    x = 1,776.96

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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.