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Finding the Fourth Proportional to 3,296.28, 4,548.64 and 1,880.20

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Solution

The fourth proportional to 3,296.28, 4,548.64 and 1,880.20 is: 2,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.28 : 4,548.64 = 1,880.20 : x
  2. Step 2: Convert to fraction form
    3,296.28/4,548.64 = 1,880.20/x
  3. Step 3: Cross multiply
    3,296.28x = 4,548.64 × 1,880.20
  4. Step 4: Simplify right side
    3,296.28x = 8,552,352.93
  5. Step 5: Solve for x
    x = 8,552,352.93/3,296.28
  6. Step 6: Final answer
    x = 2,594.55

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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.