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Finding the Fourth Proportional to 1,611.99, 2,416.10 and 1,319.98

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Solution

The fourth proportional to 1,611.99, 2,416.10 and 1,319.98 is: 1,978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.99 : 2,416.10 = 1,319.98 : x
  2. Step 2: Convert to fraction form
    1,611.99/2,416.10 = 1,319.98/x
  3. Step 3: Cross multiply
    1,611.99x = 2,416.10 × 1,319.98
  4. Step 4: Simplify right side
    1,611.99x = 3,189,203.68
  5. Step 5: Solve for x
    x = 3,189,203.68/1,611.99
  6. Step 6: Final answer
    x = 1,978.43

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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.