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Finding the Fourth Proportional to 2,147.41, 2,966.21 and 1,775.89

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Solution

The fourth proportional to 2,147.41, 2,966.21 and 1,775.89 is: 2,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.41 : 2,966.21 = 1,775.89 : x
  2. Step 2: Convert to fraction form
    2,147.41/2,966.21 = 1,775.89/x
  3. Step 3: Cross multiply
    2,147.41x = 2,966.21 × 1,775.89
  4. Step 4: Simplify right side
    2,147.41x = 5,267,662.68
  5. Step 5: Solve for x
    x = 5,267,662.68/2,147.41
  6. Step 6: Final answer
    x = 2,453.03

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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.