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Finding the Fourth Proportional to 2,683.94, 4,026.18 and 736.28

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Solution

The fourth proportional to 2,683.94, 4,026.18 and 736.28 is: 1,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.94 : 4,026.18 = 736.28 : x
  2. Step 2: Convert to fraction form
    2,683.94/4,026.18 = 736.28/x
  3. Step 3: Cross multiply
    2,683.94x = 4,026.18 × 736.28
  4. Step 4: Simplify right side
    2,683.94x = 2,964,395.81
  5. Step 5: Solve for x
    x = 2,964,395.81/2,683.94
  6. Step 6: Final answer
    x = 1,104.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.