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Finding the Fourth Proportional to 3,243.90, 4,865.93 and 1,164.05

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Solution

The fourth proportional to 3,243.90, 4,865.93 and 1,164.05 is: 1,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.90 : 4,865.93 = 1,164.05 : x
  2. Step 2: Convert to fraction form
    3,243.90/4,865.93 = 1,164.05/x
  3. Step 3: Cross multiply
    3,243.90x = 4,865.93 × 1,164.05
  4. Step 4: Simplify right side
    3,243.90x = 5,664,155.67
  5. Step 5: Solve for x
    x = 5,664,155.67/3,243.90
  6. Step 6: Final answer
    x = 1,746.09

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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.