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Finding the Fourth Proportional to 2,701.93, 3,728.03 and 1,639.67

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Solution

The fourth proportional to 2,701.93, 3,728.03 and 1,639.67 is: 2,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.93 : 3,728.03 = 1,639.67 : x
  2. Step 2: Convert to fraction form
    2,701.93/3,728.03 = 1,639.67/x
  3. Step 3: Cross multiply
    2,701.93x = 3,728.03 × 1,639.67
  4. Step 4: Simplify right side
    2,701.93x = 6,112,726.09
  5. Step 5: Solve for x
    x = 6,112,726.09/2,701.93
  6. Step 6: Final answer
    x = 2,262.36

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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.