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Finding the Fourth Proportional to 1,786.88, 2,466.98 and 1,166.96

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Solution

The fourth proportional to 1,786.88, 2,466.98 and 1,166.96 is: 1,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.88 : 2,466.98 = 1,166.96 : x
  2. Step 2: Convert to fraction form
    1,786.88/2,466.98 = 1,166.96/x
  3. Step 3: Cross multiply
    1,786.88x = 2,466.98 × 1,166.96
  4. Step 4: Simplify right side
    1,786.88x = 2,878,866.98
  5. Step 5: Solve for x
    x = 2,878,866.98/1,786.88
  6. Step 6: Final answer
    x = 1,611.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.