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Finding the Fourth Proportional to 3,457.60, 4,770.60 and 2,340.64

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Solution

The fourth proportional to 3,457.60, 4,770.60 and 2,340.64 is: 3,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.60 : 4,770.60 = 2,340.64 : x
  2. Step 2: Convert to fraction form
    3,457.60/4,770.60 = 2,340.64/x
  3. Step 3: Cross multiply
    3,457.60x = 4,770.60 × 2,340.64
  4. Step 4: Simplify right side
    3,457.60x = 11,166,257.18
  5. Step 5: Solve for x
    x = 11,166,257.18/3,457.60
  6. Step 6: Final answer
    x = 3,229.48

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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.