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Finding the Fourth Proportional to 3,131.87, 4,689.70 and 2,480.63

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Solution

The fourth proportional to 3,131.87, 4,689.70 and 2,480.63 is: 3,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.87 : 4,689.70 = 2,480.63 : x
  2. Step 2: Convert to fraction form
    3,131.87/4,689.70 = 2,480.63/x
  3. Step 3: Cross multiply
    3,131.87x = 4,689.70 × 2,480.63
  4. Step 4: Simplify right side
    3,131.87x = 11,633,410.51
  5. Step 5: Solve for x
    x = 11,633,410.51/3,131.87
  6. Step 6: Final answer
    x = 3,714.53

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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.