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Finding the Fourth Proportional to 1,380.60, 1,893.51 and 1,310.22

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Solution

The fourth proportional to 1,380.60, 1,893.51 and 1,310.22 is: 1,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.60 : 1,893.51 = 1,310.22 : x
  2. Step 2: Convert to fraction form
    1,380.60/1,893.51 = 1,310.22/x
  3. Step 3: Cross multiply
    1,380.60x = 1,893.51 × 1,310.22
  4. Step 4: Simplify right side
    1,380.60x = 2,480,914.67
  5. Step 5: Solve for x
    x = 2,480,914.67/1,380.60
  6. Step 6: Final answer
    x = 1,796.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.