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Finding the Fourth Proportional to 2,284.71, 3,410.84 and 2,203.71

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Solution

The fourth proportional to 2,284.71, 3,410.84 and 2,203.71 is: 3,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.71 : 3,410.84 = 2,203.71 : x
  2. Step 2: Convert to fraction form
    2,284.71/3,410.84 = 2,203.71/x
  3. Step 3: Cross multiply
    2,284.71x = 3,410.84 × 2,203.71
  4. Step 4: Simplify right side
    2,284.71x = 7,516,491.20
  5. Step 5: Solve for x
    x = 7,516,491.20/2,284.71
  6. Step 6: Final answer
    x = 3,289.91

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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.