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Finding the Fourth Proportional to 2,712.76, 3,742.20 and 1,716.32

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Solution

The fourth proportional to 2,712.76, 3,742.20 and 1,716.32 is: 2,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.76 : 3,742.20 = 1,716.32 : x
  2. Step 2: Convert to fraction form
    2,712.76/3,742.20 = 1,716.32/x
  3. Step 3: Cross multiply
    2,712.76x = 3,742.20 × 1,716.32
  4. Step 4: Simplify right side
    2,712.76x = 6,422,822.06
  5. Step 5: Solve for x
    x = 6,422,822.06/2,712.76
  6. Step 6: Final answer
    x = 2,367.64

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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.