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Finding the Fourth Proportional to 2,771.67, 3,824.55 and 1,695.48

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Solution

The fourth proportional to 2,771.67, 3,824.55 and 1,695.48 is: 2,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.67 : 3,824.55 = 1,695.48 : x
  2. Step 2: Convert to fraction form
    2,771.67/3,824.55 = 1,695.48/x
  3. Step 3: Cross multiply
    2,771.67x = 3,824.55 × 1,695.48
  4. Step 4: Simplify right side
    2,771.67x = 6,484,438.47
  5. Step 5: Solve for x
    x = 6,484,438.47/2,771.67
  6. Step 6: Final answer
    x = 2,339.55

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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.