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Finding the Fourth Proportional to 1,611, 2,416.50 and 456.75

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Solution

The fourth proportional to 1,611, 2,416.50 and 456.75 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611 : 2,416.50 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,611/2,416.50 = 456.75/x
  3. Step 3: Cross multiply
    1,611x = 2,416.50 × 456.75
  4. Step 4: Simplify right side
    1,611x = 1,103,736.38
  5. Step 5: Solve for x
    x = 1,103,736.38/1,611
  6. Step 6: Final answer
    x = 685.13

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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.