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Finding the Fourth Proportional to 1,611.39, 2,415.27 and 686.48

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Solution

The fourth proportional to 1,611.39, 2,415.27 and 686.48 is: 1,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.39 : 2,415.27 = 686.48 : x
  2. Step 2: Convert to fraction form
    1,611.39/2,415.27 = 686.48/x
  3. Step 3: Cross multiply
    1,611.39x = 2,415.27 × 686.48
  4. Step 4: Simplify right side
    1,611.39x = 1,658,021.19
  5. Step 5: Solve for x
    x = 1,658,021.19/1,611.39
  6. Step 6: Final answer
    x = 1,028.94

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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.