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Finding the Fourth Proportional to 2,698.72, 3,723.87 and 1,503.56

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Solution

The fourth proportional to 2,698.72, 3,723.87 and 1,503.56 is: 2,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.72 : 3,723.87 = 1,503.56 : x
  2. Step 2: Convert to fraction form
    2,698.72/3,723.87 = 1,503.56/x
  3. Step 3: Cross multiply
    2,698.72x = 3,723.87 × 1,503.56
  4. Step 4: Simplify right side
    2,698.72x = 5,599,076.93
  5. Step 5: Solve for x
    x = 5,599,076.93/2,698.72
  6. Step 6: Final answer
    x = 2,074.72

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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.