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Finding the Fourth Proportional to 1,611.64, 2,418 and 1,600.84

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Solution

The fourth proportional to 1,611.64, 2,418 and 1,600.84 is: 2,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.64 : 2,418 = 1,600.84 : x
  2. Step 2: Convert to fraction form
    1,611.64/2,418 = 1,600.84/x
  3. Step 3: Cross multiply
    1,611.64x = 2,418 × 1,600.84
  4. Step 4: Simplify right side
    1,611.64x = 3,870,831.12
  5. Step 5: Solve for x
    x = 3,870,831.12/1,611.64
  6. Step 6: Final answer
    x = 2,401.80

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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.