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Finding the Fourth Proportional to 2,811.24, 3,880.44 and 1,763.64

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Solution

The fourth proportional to 2,811.24, 3,880.44 and 1,763.64 is: 2,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.24 : 3,880.44 = 1,763.64 : x
  2. Step 2: Convert to fraction form
    2,811.24/3,880.44 = 1,763.64/x
  3. Step 3: Cross multiply
    2,811.24x = 3,880.44 × 1,763.64
  4. Step 4: Simplify right side
    2,811.24x = 6,843,699.20
  5. Step 5: Solve for x
    x = 6,843,699.20/2,811.24
  6. Step 6: Final answer
    x = 2,434.41

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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.