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Finding the Fourth Proportional to 2,683.68, 3,703.23 and 1,504.50

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Solution

The fourth proportional to 2,683.68, 3,703.23 and 1,504.50 is: 2,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.68 : 3,703.23 = 1,504.50 : x
  2. Step 2: Convert to fraction form
    2,683.68/3,703.23 = 1,504.50/x
  3. Step 3: Cross multiply
    2,683.68x = 3,703.23 × 1,504.50
  4. Step 4: Simplify right side
    2,683.68x = 5,571,509.54
  5. Step 5: Solve for x
    x = 5,571,509.54/2,683.68
  6. Step 6: Final answer
    x = 2,076.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.