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Finding the Fourth Proportional to 3,207.84, 4,425.60 and 1,948.42

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Solution

The fourth proportional to 3,207.84, 4,425.60 and 1,948.42 is: 2,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.84 : 4,425.60 = 1,948.42 : x
  2. Step 2: Convert to fraction form
    3,207.84/4,425.60 = 1,948.42/x
  3. Step 3: Cross multiply
    3,207.84x = 4,425.60 × 1,948.42
  4. Step 4: Simplify right side
    3,207.84x = 8,622,895.68
  5. Step 5: Solve for x
    x = 8,622,895.68/3,207.84
  6. Step 6: Final answer
    x = 2,688.07

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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.