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Finding the Fourth Proportional to 2,591.36, 3,880.80 and 1,616.24

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Solution

The fourth proportional to 2,591.36, 3,880.80 and 1,616.24 is: 2,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.36 : 3,880.80 = 1,616.24 : x
  2. Step 2: Convert to fraction form
    2,591.36/3,880.80 = 1,616.24/x
  3. Step 3: Cross multiply
    2,591.36x = 3,880.80 × 1,616.24
  4. Step 4: Simplify right side
    2,591.36x = 6,272,304.19
  5. Step 5: Solve for x
    x = 6,272,304.19/2,591.36
  6. Step 6: Final answer
    x = 2,420.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.