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Finding the Fourth Proportional to 2,963.26, 4,089.36 and 1,784.08

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Solution

The fourth proportional to 2,963.26, 4,089.36 and 1,784.08 is: 2,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.26 : 4,089.36 = 1,784.08 : x
  2. Step 2: Convert to fraction form
    2,963.26/4,089.36 = 1,784.08/x
  3. Step 3: Cross multiply
    2,963.26x = 4,089.36 × 1,784.08
  4. Step 4: Simplify right side
    2,963.26x = 7,295,745.39
  5. Step 5: Solve for x
    x = 7,295,745.39/2,963.26
  6. Step 6: Final answer
    x = 2,462.07

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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.