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Finding the Fourth Proportional to 2,130.99, 2,940.08 and 1,199.31

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Solution

The fourth proportional to 2,130.99, 2,940.08 and 1,199.31 is: 1,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.99 : 2,940.08 = 1,199.31 : x
  2. Step 2: Convert to fraction form
    2,130.99/2,940.08 = 1,199.31/x
  3. Step 3: Cross multiply
    2,130.99x = 2,940.08 × 1,199.31
  4. Step 4: Simplify right side
    2,130.99x = 3,526,067.34
  5. Step 5: Solve for x
    x = 3,526,067.34/2,130.99
  6. Step 6: Final answer
    x = 1,654.66

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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.