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Finding the Fourth Proportional to 2,487.66, 3,431.07 and 1,604.40

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Solution

The fourth proportional to 2,487.66, 3,431.07 and 1,604.40 is: 2,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.66 : 3,431.07 = 1,604.40 : x
  2. Step 2: Convert to fraction form
    2,487.66/3,431.07 = 1,604.40/x
  3. Step 3: Cross multiply
    2,487.66x = 3,431.07 × 1,604.40
  4. Step 4: Simplify right side
    2,487.66x = 5,504,808.71
  5. Step 5: Solve for x
    x = 5,504,808.71/2,487.66
  6. Step 6: Final answer
    x = 2,212.85

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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.