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Finding the Fourth Proportional to 2,698.10, 3,722.87 and 1,635.65

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Solution

The fourth proportional to 2,698.10, 3,722.87 and 1,635.65 is: 2,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.10 : 3,722.87 = 1,635.65 : x
  2. Step 2: Convert to fraction form
    2,698.10/3,722.87 = 1,635.65/x
  3. Step 3: Cross multiply
    2,698.10x = 3,722.87 × 1,635.65
  4. Step 4: Simplify right side
    2,698.10x = 6,089,304.14
  5. Step 5: Solve for x
    x = 6,089,304.14/2,698.10
  6. Step 6: Final answer
    x = 2,256.89

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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.