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Finding the Fourth Proportional to 2,129.99, 2,939.33 and 1,185.78

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Solution

The fourth proportional to 2,129.99, 2,939.33 and 1,185.78 is: 1,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.99 : 2,939.33 = 1,185.78 : x
  2. Step 2: Convert to fraction form
    2,129.99/2,939.33 = 1,185.78/x
  3. Step 3: Cross multiply
    2,129.99x = 2,939.33 × 1,185.78
  4. Step 4: Simplify right side
    2,129.99x = 3,485,392.80
  5. Step 5: Solve for x
    x = 3,485,392.80/2,129.99
  6. Step 6: Final answer
    x = 1,636.35

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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.