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Finding the Fourth Proportional to 1,742.82, 2,596.08 and 1,650.48

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Solution

The fourth proportional to 1,742.82, 2,596.08 and 1,650.48 is: 2,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.82 : 2,596.08 = 1,650.48 : x
  2. Step 2: Convert to fraction form
    1,742.82/2,596.08 = 1,650.48/x
  3. Step 3: Cross multiply
    1,742.82x = 2,596.08 × 1,650.48
  4. Step 4: Simplify right side
    1,742.82x = 4,284,778.12
  5. Step 5: Solve for x
    x = 4,284,778.12/1,742.82
  6. Step 6: Final answer
    x = 2,458.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.