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Finding the Fourth Proportional to 2,698.25, 3,724.80 and 2,000.84

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Solution

The fourth proportional to 2,698.25, 3,724.80 and 2,000.84 is: 2,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.25 : 3,724.80 = 2,000.84 : x
  2. Step 2: Convert to fraction form
    2,698.25/3,724.80 = 2,000.84/x
  3. Step 3: Cross multiply
    2,698.25x = 3,724.80 × 2,000.84
  4. Step 4: Simplify right side
    2,698.25x = 7,452,728.83
  5. Step 5: Solve for x
    x = 7,452,728.83/2,698.25
  6. Step 6: Final answer
    x = 2,762.06

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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.