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Finding the Fourth Proportional to 2,682.41, 3,701.48 and 1,503.25

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Solution

The fourth proportional to 2,682.41, 3,701.48 and 1,503.25 is: 2,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.41 : 3,701.48 = 1,503.25 : x
  2. Step 2: Convert to fraction form
    2,682.41/3,701.48 = 1,503.25/x
  3. Step 3: Cross multiply
    2,682.41x = 3,701.48 × 1,503.25
  4. Step 4: Simplify right side
    2,682.41x = 5,564,249.81
  5. Step 5: Solve for x
    x = 5,564,249.81/2,682.41
  6. Step 6: Final answer
    x = 2,074.35

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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.