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Finding the Fourth Proportional to 2,087.97, 3,130.73 and 1,395.42

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Solution

The fourth proportional to 2,087.97, 3,130.73 and 1,395.42 is: 2,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.97 : 3,130.73 = 1,395.42 : x
  2. Step 2: Convert to fraction form
    2,087.97/3,130.73 = 1,395.42/x
  3. Step 3: Cross multiply
    2,087.97x = 3,130.73 × 1,395.42
  4. Step 4: Simplify right side
    2,087.97x = 4,368,683.26
  5. Step 5: Solve for x
    x = 4,368,683.26/2,087.97
  6. Step 6: Final answer
    x = 2,092.31

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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.