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Finding the Fourth Proportional to 2,297.63, 3,166.87 and 1,759.08

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Solution

The fourth proportional to 2,297.63, 3,166.87 and 1,759.08 is: 2,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.63 : 3,166.87 = 1,759.08 : x
  2. Step 2: Convert to fraction form
    2,297.63/3,166.87 = 1,759.08/x
  3. Step 3: Cross multiply
    2,297.63x = 3,166.87 × 1,759.08
  4. Step 4: Simplify right side
    2,297.63x = 5,570,777.68
  5. Step 5: Solve for x
    x = 5,570,777.68/2,297.63
  6. Step 6: Final answer
    x = 2,424.58

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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.