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Finding the Fourth Proportional to 2,827.84, 3,901.63 and 2,228.48

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Solution

The fourth proportional to 2,827.84, 3,901.63 and 2,228.48 is: 3,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.84 : 3,901.63 = 2,228.48 : x
  2. Step 2: Convert to fraction form
    2,827.84/3,901.63 = 2,228.48/x
  3. Step 3: Cross multiply
    2,827.84x = 3,901.63 × 2,228.48
  4. Step 4: Simplify right side
    2,827.84x = 8,694,673.77
  5. Step 5: Solve for x
    x = 8,694,673.77/2,827.84
  6. Step 6: Final answer
    x = 3,074.67

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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.