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Finding the Fourth Proportional to 2,322.74, 3,203.60 and 1,577.28

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Solution

The fourth proportional to 2,322.74, 3,203.60 and 1,577.28 is: 2,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.74 : 3,203.60 = 1,577.28 : x
  2. Step 2: Convert to fraction form
    2,322.74/3,203.60 = 1,577.28/x
  3. Step 3: Cross multiply
    2,322.74x = 3,203.60 × 1,577.28
  4. Step 4: Simplify right side
    2,322.74x = 5,052,974.21
  5. Step 5: Solve for x
    x = 5,052,974.21/2,322.74
  6. Step 6: Final answer
    x = 2,175.44

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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.