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Finding the Fourth Proportional to 2,683.83, 4,025.82 and 736.05

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Solution

The fourth proportional to 2,683.83, 4,025.82 and 736.05 is: 1,104.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.83 : 4,025.82 = 736.05 : x
  2. Step 2: Convert to fraction form
    2,683.83/4,025.82 = 736.05/x
  3. Step 3: Cross multiply
    2,683.83x = 4,025.82 × 736.05
  4. Step 4: Simplify right side
    2,683.83x = 2,963,204.81
  5. Step 5: Solve for x
    x = 2,963,204.81/2,683.83
  6. Step 6: Final answer
    x = 1,104.10

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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.