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Finding the Fourth Proportional to 2,698.46, 3,724.35 and 2,575.34

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Solution

The fourth proportional to 2,698.46, 3,724.35 and 2,575.34 is: 3,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.46 : 3,724.35 = 2,575.34 : x
  2. Step 2: Convert to fraction form
    2,698.46/3,724.35 = 2,575.34/x
  3. Step 3: Cross multiply
    2,698.46x = 3,724.35 × 2,575.34
  4. Step 4: Simplify right side
    2,698.46x = 9,591,467.53
  5. Step 5: Solve for x
    x = 9,591,467.53/2,698.46
  6. Step 6: Final answer
    x = 3,554.42

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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.