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Finding the Fourth Proportional to 2,801.36, 4,216.64 and 2,378.54

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Solution

The fourth proportional to 2,801.36, 4,216.64 and 2,378.54 is: 3,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.36 : 4,216.64 = 2,378.54 : x
  2. Step 2: Convert to fraction form
    2,801.36/4,216.64 = 2,378.54/x
  3. Step 3: Cross multiply
    2,801.36x = 4,216.64 × 2,378.54
  4. Step 4: Simplify right side
    2,801.36x = 10,029,446.91
  5. Step 5: Solve for x
    x = 10,029,446.91/2,801.36
  6. Step 6: Final answer
    x = 3,580.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.