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Finding the Fourth Proportional to 2,074.01, 3,110.36 and 687.03

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Solution

The fourth proportional to 2,074.01, 3,110.36 and 687.03 is: 1,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.01 : 3,110.36 = 687.03 : x
  2. Step 2: Convert to fraction form
    2,074.01/3,110.36 = 687.03/x
  3. Step 3: Cross multiply
    2,074.01x = 3,110.36 × 687.03
  4. Step 4: Simplify right side
    2,074.01x = 2,136,912.35
  5. Step 5: Solve for x
    x = 2,136,912.35/2,074.01
  6. Step 6: Final answer
    x = 1,030.33

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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.