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Finding the Fourth Proportional to 2,838.21, 3,917.08 and 1,719.12

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Solution

The fourth proportional to 2,838.21, 3,917.08 and 1,719.12 is: 2,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.21 : 3,917.08 = 1,719.12 : x
  2. Step 2: Convert to fraction form
    2,838.21/3,917.08 = 1,719.12/x
  3. Step 3: Cross multiply
    2,838.21x = 3,917.08 × 1,719.12
  4. Step 4: Simplify right side
    2,838.21x = 6,733,947.41
  5. Step 5: Solve for x
    x = 6,733,947.41/2,838.21
  6. Step 6: Final answer
    x = 2,372.60

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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.