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Finding the Fourth Proportional to 2,474.98, 3,713.51 and 1,087.60

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Solution

The fourth proportional to 2,474.98, 3,713.51 and 1,087.60 is: 1,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.98 : 3,713.51 = 1,087.60 : x
  2. Step 2: Convert to fraction form
    2,474.98/3,713.51 = 1,087.60/x
  3. Step 3: Cross multiply
    2,474.98x = 3,713.51 × 1,087.60
  4. Step 4: Simplify right side
    2,474.98x = 4,038,813.48
  5. Step 5: Solve for x
    x = 4,038,813.48/2,474.98
  6. Step 6: Final answer
    x = 1,631.86

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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.