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Finding the Fourth Proportional to 2,474.52, 3,708.63 and 2,409.92

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Solution

The fourth proportional to 2,474.52, 3,708.63 and 2,409.92 is: 3,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.52 : 3,708.63 = 2,409.92 : x
  2. Step 2: Convert to fraction form
    2,474.52/3,708.63 = 2,409.92/x
  3. Step 3: Cross multiply
    2,474.52x = 3,708.63 × 2,409.92
  4. Step 4: Simplify right side
    2,474.52x = 8,937,483.07
  5. Step 5: Solve for x
    x = 8,937,483.07/2,474.52
  6. Step 6: Final answer
    x = 3,611.80

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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.