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Finding the Fourth Proportional to 3,104.62, 4,657 and 2,485.46

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Solution

The fourth proportional to 3,104.62, 4,657 and 2,485.46 is: 3,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.62 : 4,657 = 2,485.46 : x
  2. Step 2: Convert to fraction form
    3,104.62/4,657 = 2,485.46/x
  3. Step 3: Cross multiply
    3,104.62x = 4,657 × 2,485.46
  4. Step 4: Simplify right side
    3,104.62x = 11,574,787.22
  5. Step 5: Solve for x
    x = 11,574,787.22/3,104.62
  6. Step 6: Final answer
    x = 3,728.25

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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.