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Finding the Fourth Proportional to 3,296.41, 4,548.95 and 1,880.06

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Solution

The fourth proportional to 3,296.41, 4,548.95 and 1,880.06 is: 2,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.41 : 4,548.95 = 1,880.06 : x
  2. Step 2: Convert to fraction form
    3,296.41/4,548.95 = 1,880.06/x
  3. Step 3: Cross multiply
    3,296.41x = 4,548.95 × 1,880.06
  4. Step 4: Simplify right side
    3,296.41x = 8,552,319.03
  5. Step 5: Solve for x
    x = 8,552,319.03/3,296.41
  6. Step 6: Final answer
    x = 2,594.44

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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.