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Finding the Fourth Proportional to 2,015.99, 2,782.06 and 1,131.77

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Solution

The fourth proportional to 2,015.99, 2,782.06 and 1,131.77 is: 1,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.99 : 2,782.06 = 1,131.77 : x
  2. Step 2: Convert to fraction form
    2,015.99/2,782.06 = 1,131.77/x
  3. Step 3: Cross multiply
    2,015.99x = 2,782.06 × 1,131.77
  4. Step 4: Simplify right side
    2,015.99x = 3,148,638.14
  5. Step 5: Solve for x
    x = 3,148,638.14/2,015.99
  6. Step 6: Final answer
    x = 1,561.84

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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.