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Finding the Fourth Proportional to 2,772.09, 3,825.53 and 1,653.67

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Solution

The fourth proportional to 2,772.09, 3,825.53 and 1,653.67 is: 2,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.09 : 3,825.53 = 1,653.67 : x
  2. Step 2: Convert to fraction form
    2,772.09/3,825.53 = 1,653.67/x
  3. Step 3: Cross multiply
    2,772.09x = 3,825.53 × 1,653.67
  4. Step 4: Simplify right side
    2,772.09x = 6,326,164.20
  5. Step 5: Solve for x
    x = 6,326,164.20/2,772.09
  6. Step 6: Final answer
    x = 2,282.09

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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.