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Finding the Fourth Proportional to 2,129.56, 2,938.82 and 1,185.37

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Solution

The fourth proportional to 2,129.56, 2,938.82 and 1,185.37 is: 1,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.56 : 2,938.82 = 1,185.37 : x
  2. Step 2: Convert to fraction form
    2,129.56/2,938.82 = 1,185.37/x
  3. Step 3: Cross multiply
    2,129.56x = 2,938.82 × 1,185.37
  4. Step 4: Simplify right side
    2,129.56x = 3,483,575.79
  5. Step 5: Solve for x
    x = 3,483,575.79/2,129.56
  6. Step 6: Final answer
    x = 1,635.82

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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.