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Finding the Fourth Proportional to 2,829.62, 4,240.08 and 1,185.26

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Solution

The fourth proportional to 2,829.62, 4,240.08 and 1,185.26 is: 1,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.62 : 4,240.08 = 1,185.26 : x
  2. Step 2: Convert to fraction form
    2,829.62/4,240.08 = 1,185.26/x
  3. Step 3: Cross multiply
    2,829.62x = 4,240.08 × 1,185.26
  4. Step 4: Simplify right side
    2,829.62x = 5,025,597.22
  5. Step 5: Solve for x
    x = 5,025,597.22/2,829.62
  6. Step 6: Final answer
    x = 1,776.07

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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.