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Finding the Fourth Proportional to 2,144.35, 2,958.76 and 1,305.53

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Solution

The fourth proportional to 2,144.35, 2,958.76 and 1,305.53 is: 1,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.35 : 2,958.76 = 1,305.53 : x
  2. Step 2: Convert to fraction form
    2,144.35/2,958.76 = 1,305.53/x
  3. Step 3: Cross multiply
    2,144.35x = 2,958.76 × 1,305.53
  4. Step 4: Simplify right side
    2,144.35x = 3,862,749.94
  5. Step 5: Solve for x
    x = 3,862,749.94/2,144.35
  6. Step 6: Final answer
    x = 1,801.36

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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.