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Finding the Fourth Proportional to 2,431.62, 3,647.52 and 1,660.50

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Solution

The fourth proportional to 2,431.62, 3,647.52 and 1,660.50 is: 2,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.62 : 3,647.52 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,431.62/3,647.52 = 1,660.50/x
  3. Step 3: Cross multiply
    2,431.62x = 3,647.52 × 1,660.50
  4. Step 4: Simplify right side
    2,431.62x = 6,056,706.96
  5. Step 5: Solve for x
    x = 6,056,706.96/2,431.62
  6. Step 6: Final answer
    x = 2,490.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.