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Finding the Fourth Proportional to 2,427.72, 3,636.40 and 1,777

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Solution

The fourth proportional to 2,427.72, 3,636.40 and 1,777 is: 2,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.72 : 3,636.40 = 1,777 : x
  2. Step 2: Convert to fraction form
    2,427.72/3,636.40 = 1,777/x
  3. Step 3: Cross multiply
    2,427.72x = 3,636.40 × 1,777
  4. Step 4: Simplify right side
    2,427.72x = 6,461,882.80
  5. Step 5: Solve for x
    x = 6,461,882.80/2,427.72
  6. Step 6: Final answer
    x = 2,661.71

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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.