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Finding the Fourth Proportional to 3,296.94, 4,549.60 and 1,880.25

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Solution

The fourth proportional to 3,296.94, 4,549.60 and 1,880.25 is: 2,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.94 : 4,549.60 = 1,880.25 : x
  2. Step 2: Convert to fraction form
    3,296.94/4,549.60 = 1,880.25/x
  3. Step 3: Cross multiply
    3,296.94x = 4,549.60 × 1,880.25
  4. Step 4: Simplify right side
    3,296.94x = 8,554,385.40
  5. Step 5: Solve for x
    x = 8,554,385.40/3,296.94
  6. Step 6: Final answer
    x = 2,594.64

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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.