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Finding the Fourth Proportional to 2,014.25, 2,773.31 and 1,829.70

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Solution

The fourth proportional to 2,014.25, 2,773.31 and 1,829.70 is: 2,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.25 : 2,773.31 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    2,014.25/2,773.31 = 1,829.70/x
  3. Step 3: Cross multiply
    2,014.25x = 2,773.31 × 1,829.70
  4. Step 4: Simplify right side
    2,014.25x = 5,074,316.16
  5. Step 5: Solve for x
    x = 5,074,316.16/2,014.25
  6. Step 6: Final answer
    x = 2,519.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.