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Finding the Fourth Proportional to 3,137.60, 4,698.72 and 2,108.48

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Solution

The fourth proportional to 3,137.60, 4,698.72 and 2,108.48 is: 3,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,698.72 = 2,108.48 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,698.72 = 2,108.48/x
  3. Step 3: Cross multiply
    3,137.60x = 4,698.72 × 2,108.48
  4. Step 4: Simplify right side
    3,137.60x = 9,907,157.15
  5. Step 5: Solve for x
    x = 9,907,157.15/3,137.60
  6. Step 6: Final answer
    x = 3,157.56

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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.