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Finding the Fourth Proportional to 1,650.80, 2,473.48 and 1,162.84

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Solution

The fourth proportional to 1,650.80, 2,473.48 and 1,162.84 is: 1,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.80 : 2,473.48 = 1,162.84 : x
  2. Step 2: Convert to fraction form
    1,650.80/2,473.48 = 1,162.84/x
  3. Step 3: Cross multiply
    1,650.80x = 2,473.48 × 1,162.84
  4. Step 4: Simplify right side
    1,650.80x = 2,876,261.48
  5. Step 5: Solve for x
    x = 2,876,261.48/1,650.80
  6. Step 6: Final answer
    x = 1,742.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.