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Finding the Fourth Proportional to 1,760.36, 2,652.60 and 1,458.96

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Solution

The fourth proportional to 1,760.36, 2,652.60 and 1,458.96 is: 2,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.36 : 2,652.60 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    1,760.36/2,652.60 = 1,458.96/x
  3. Step 3: Cross multiply
    1,760.36x = 2,652.60 × 1,458.96
  4. Step 4: Simplify right side
    1,760.36x = 3,870,037.30
  5. Step 5: Solve for x
    x = 3,870,037.30/1,760.36
  6. Step 6: Final answer
    x = 2,198.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.