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Finding the Fourth Proportional to 1,796.58, 2,477.60 and 1,166.43

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Solution

The fourth proportional to 1,796.58, 2,477.60 and 1,166.43 is: 1,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.58 : 2,477.60 = 1,166.43 : x
  2. Step 2: Convert to fraction form
    1,796.58/2,477.60 = 1,166.43/x
  3. Step 3: Cross multiply
    1,796.58x = 2,477.60 × 1,166.43
  4. Step 4: Simplify right side
    1,796.58x = 2,889,934.58
  5. Step 5: Solve for x
    x = 2,889,934.58/1,796.58
  6. Step 6: Final answer
    x = 1,608.58

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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.