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Finding the Fourth Proportional to 2,106, 3,144.22 and 1,798.00

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Solution

The fourth proportional to 2,106, 3,144.22 and 1,798.00 is: 2,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,144.22 = 1,798.00 : x
  2. Step 2: Convert to fraction form
    2,106/3,144.22 = 1,798.00/x
  3. Step 3: Cross multiply
    2,106x = 3,144.22 × 1,798.00
  4. Step 4: Simplify right side
    2,106x = 5,653,295.20
  5. Step 5: Solve for x
    x = 5,653,295.20/2,106
  6. Step 6: Final answer
    x = 2,684.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.