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Finding the Fourth Proportional to 1,611.86, 2,416.07 and 789

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Solution

The fourth proportional to 1,611.86, 2,416.07 and 789 is: 1,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.86 : 2,416.07 = 789 : x
  2. Step 2: Convert to fraction form
    1,611.86/2,416.07 = 789/x
  3. Step 3: Cross multiply
    1,611.86x = 2,416.07 × 789
  4. Step 4: Simplify right side
    1,611.86x = 1,906,281.20
  5. Step 5: Solve for x
    x = 1,906,281.20/1,611.86
  6. Step 6: Final answer
    x = 1,182.66

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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.