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Finding the Fourth Proportional to 3,232.84, 4,842.78 and 2,770.60

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Solution

The fourth proportional to 3,232.84, 4,842.78 and 2,770.60 is: 4,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.84 : 4,842.78 = 2,770.60 : x
  2. Step 2: Convert to fraction form
    3,232.84/4,842.78 = 2,770.60/x
  3. Step 3: Cross multiply
    3,232.84x = 4,842.78 × 2,770.60
  4. Step 4: Simplify right side
    3,232.84x = 13,417,406.27
  5. Step 5: Solve for x
    x = 13,417,406.27/3,232.84
  6. Step 6: Final answer
    x = 4,150.35

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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.