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Finding the Fourth Proportional to 3,457.42, 4,771.34 and 1,965.40

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Solution

The fourth proportional to 3,457.42, 4,771.34 and 1,965.40 is: 2,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.42 : 4,771.34 = 1,965.40 : x
  2. Step 2: Convert to fraction form
    3,457.42/4,771.34 = 1,965.40/x
  3. Step 3: Cross multiply
    3,457.42x = 4,771.34 × 1,965.40
  4. Step 4: Simplify right side
    3,457.42x = 9,377,591.64
  5. Step 5: Solve for x
    x = 9,377,591.64/3,457.42
  6. Step 6: Final answer
    x = 2,712.31

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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.