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Finding the Fourth Proportional to 2,164.89, 3,245.15 and 1,385.78

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Solution

The fourth proportional to 2,164.89, 3,245.15 and 1,385.78 is: 2,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.89 : 3,245.15 = 1,385.78 : x
  2. Step 2: Convert to fraction form
    2,164.89/3,245.15 = 1,385.78/x
  3. Step 3: Cross multiply
    2,164.89x = 3,245.15 × 1,385.78
  4. Step 4: Simplify right side
    2,164.89x = 4,497,040.81
  5. Step 5: Solve for x
    x = 4,497,040.81/2,164.89
  6. Step 6: Final answer
    x = 2,077.26

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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.