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Finding the Fourth Proportional to 2,083.89, 3,127.38 and 988.26

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Solution

The fourth proportional to 2,083.89, 3,127.38 and 988.26 is: 1,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.89 : 3,127.38 = 988.26 : x
  2. Step 2: Convert to fraction form
    2,083.89/3,127.38 = 988.26/x
  3. Step 3: Cross multiply
    2,083.89x = 3,127.38 × 988.26
  4. Step 4: Simplify right side
    2,083.89x = 3,090,659.62
  5. Step 5: Solve for x
    x = 3,090,659.62/2,083.89
  6. Step 6: Final answer
    x = 1,483.12

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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.