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Finding the Fourth Proportional to 2,851.44, 4,267.43 and 2,389.74

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Solution

The fourth proportional to 2,851.44, 4,267.43 and 2,389.74 is: 3,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.44 : 4,267.43 = 2,389.74 : x
  2. Step 2: Convert to fraction form
    2,851.44/4,267.43 = 2,389.74/x
  3. Step 3: Cross multiply
    2,851.44x = 4,267.43 × 2,389.74
  4. Step 4: Simplify right side
    2,851.44x = 10,198,036.22
  5. Step 5: Solve for x
    x = 10,198,036.22/2,851.44
  6. Step 6: Final answer
    x = 3,576.45

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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.