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Finding the Fourth Proportional to 2,135.99, 3,208.54 and 2,011.15

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Solution

The fourth proportional to 2,135.99, 3,208.54 and 2,011.15 is: 3,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.99 : 3,208.54 = 2,011.15 : x
  2. Step 2: Convert to fraction form
    2,135.99/3,208.54 = 2,011.15/x
  3. Step 3: Cross multiply
    2,135.99x = 3,208.54 × 2,011.15
  4. Step 4: Simplify right side
    2,135.99x = 6,452,860.25
  5. Step 5: Solve for x
    x = 6,452,860.25/2,135.99
  6. Step 6: Final answer
    x = 3,021.01

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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.