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Finding the Fourth Proportional to 2,698.64, 4,048.25 and 849.81

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Solution

The fourth proportional to 2,698.64, 4,048.25 and 849.81 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.64 : 4,048.25 = 849.81 : x
  2. Step 2: Convert to fraction form
    2,698.64/4,048.25 = 849.81/x
  3. Step 3: Cross multiply
    2,698.64x = 4,048.25 × 849.81
  4. Step 4: Simplify right side
    2,698.64x = 3,440,243.33
  5. Step 5: Solve for x
    x = 3,440,243.33/2,698.64
  6. Step 6: Final answer
    x = 1,274.81

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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.