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Finding the Fourth Proportional to 2,774.07, 4,160.64 and 825.81

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Solution

The fourth proportional to 2,774.07, 4,160.64 and 825.81 is: 1,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.07 : 4,160.64 = 825.81 : x
  2. Step 2: Convert to fraction form
    2,774.07/4,160.64 = 825.81/x
  3. Step 3: Cross multiply
    2,774.07x = 4,160.64 × 825.81
  4. Step 4: Simplify right side
    2,774.07x = 3,435,908.52
  5. Step 5: Solve for x
    x = 3,435,908.52/2,774.07
  6. Step 6: Final answer
    x = 1,238.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.