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Finding the Fourth Proportional to 2,712.66, 3,743.64 and 1,651.20

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Solution

The fourth proportional to 2,712.66, 3,743.64 and 1,651.20 is: 2,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.66 : 3,743.64 = 1,651.20 : x
  2. Step 2: Convert to fraction form
    2,712.66/3,743.64 = 1,651.20/x
  3. Step 3: Cross multiply
    2,712.66x = 3,743.64 × 1,651.20
  4. Step 4: Simplify right side
    2,712.66x = 6,181,498.37
  5. Step 5: Solve for x
    x = 6,181,498.37/2,712.66
  6. Step 6: Final answer
    x = 2,278.76

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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.