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Finding the Fourth Proportional to 1,796.37, 2,681.45 and 1,577.67

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Solution

The fourth proportional to 1,796.37, 2,681.45 and 1,577.67 is: 2,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.37 : 2,681.45 = 1,577.67 : x
  2. Step 2: Convert to fraction form
    1,796.37/2,681.45 = 1,577.67/x
  3. Step 3: Cross multiply
    1,796.37x = 2,681.45 × 1,577.67
  4. Step 4: Simplify right side
    1,796.37x = 4,230,435.33
  5. Step 5: Solve for x
    x = 4,230,435.33/1,796.37
  6. Step 6: Final answer
    x = 2,354.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.