Home / 2,561.94-3,840.75-1,102.14

Finding the Fourth Proportional to 2,561.94, 3,840.75 and 1,102.14

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Solution

The fourth proportional to 2,561.94, 3,840.75 and 1,102.14 is: 1,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.94 : 3,840.75 = 1,102.14 : x
  2. Step 2: Convert to fraction form
    2,561.94/3,840.75 = 1,102.14/x
  3. Step 3: Cross multiply
    2,561.94x = 3,840.75 × 1,102.14
  4. Step 4: Simplify right side
    2,561.94x = 4,233,044.21
  5. Step 5: Solve for x
    x = 4,233,044.21/2,561.94
  6. Step 6: Final answer
    x = 1,652.28

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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.