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Finding the Fourth Proportional to 1,611.07, 2,416.80 and 686.75

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Solution

The fourth proportional to 1,611.07, 2,416.80 and 686.75 is: 1,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.07 : 2,416.80 = 686.75 : x
  2. Step 2: Convert to fraction form
    1,611.07/2,416.80 = 686.75/x
  3. Step 3: Cross multiply
    1,611.07x = 2,416.80 × 686.75
  4. Step 4: Simplify right side
    1,611.07x = 1,659,737.40
  5. Step 5: Solve for x
    x = 1,659,737.40/1,611.07
  6. Step 6: Final answer
    x = 1,030.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.