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Finding the Fourth Proportional to 2,548.10, 3,821.75 and 698.79

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Solution

The fourth proportional to 2,548.10, 3,821.75 and 698.79 is: 1,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.10 : 3,821.75 = 698.79 : x
  2. Step 2: Convert to fraction form
    2,548.10/3,821.75 = 698.79/x
  3. Step 3: Cross multiply
    2,548.10x = 3,821.75 × 698.79
  4. Step 4: Simplify right side
    2,548.10x = 2,670,597.19
  5. Step 5: Solve for x
    x = 2,670,597.19/2,548.10
  6. Step 6: Final answer
    x = 1,048.07

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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.