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Finding the Fourth Proportional to 2,209.78, 3,049.64 and 1,325.53

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Solution

The fourth proportional to 2,209.78, 3,049.64 and 1,325.53 is: 1,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 3,049.64 = 1,325.53 : x
  2. Step 2: Convert to fraction form
    2,209.78/3,049.64 = 1,325.53/x
  3. Step 3: Cross multiply
    2,209.78x = 3,049.64 × 1,325.53
  4. Step 4: Simplify right side
    2,209.78x = 4,042,389.31
  5. Step 5: Solve for x
    x = 4,042,389.31/2,209.78
  6. Step 6: Final answer
    x = 1,829.32

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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.