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Finding the Fourth Proportional to 3,162.88, 4,364.80 and 1,765.60

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Solution

The fourth proportional to 3,162.88, 4,364.80 and 1,765.60 is: 2,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.88 : 4,364.80 = 1,765.60 : x
  2. Step 2: Convert to fraction form
    3,162.88/4,364.80 = 1,765.60/x
  3. Step 3: Cross multiply
    3,162.88x = 4,364.80 × 1,765.60
  4. Step 4: Simplify right side
    3,162.88x = 7,706,490.88
  5. Step 5: Solve for x
    x = 7,706,490.88/3,162.88
  6. Step 6: Final answer
    x = 2,436.54

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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.