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Finding the Fourth Proportional to 2,124.89, 3,189.30 and 1,085.64

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Solution

The fourth proportional to 2,124.89, 3,189.30 and 1,085.64 is: 1,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.89 : 3,189.30 = 1,085.64 : x
  2. Step 2: Convert to fraction form
    2,124.89/3,189.30 = 1,085.64/x
  3. Step 3: Cross multiply
    2,124.89x = 3,189.30 × 1,085.64
  4. Step 4: Simplify right side
    2,124.89x = 3,462,431.65
  5. Step 5: Solve for x
    x = 3,462,431.65/2,124.89
  6. Step 6: Final answer
    x = 1,629.46

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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.