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Finding the Fourth Proportional to 2,698.44, 3,723.72 and 1,503.49

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Solution

The fourth proportional to 2,698.44, 3,723.72 and 1,503.49 is: 2,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.44 : 3,723.72 = 1,503.49 : x
  2. Step 2: Convert to fraction form
    2,698.44/3,723.72 = 1,503.49/x
  3. Step 3: Cross multiply
    2,698.44x = 3,723.72 × 1,503.49
  4. Step 4: Simplify right side
    2,698.44x = 5,598,575.78
  5. Step 5: Solve for x
    x = 5,598,575.78/2,698.44
  6. Step 6: Final answer
    x = 2,074.75

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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.