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Finding the Fourth Proportional to 1,809, 2,713.50 and 654.75

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Solution

The fourth proportional to 1,809, 2,713.50 and 654.75 is: 982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809 : 2,713.50 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,809/2,713.50 = 654.75/x
  3. Step 3: Cross multiply
    1,809x = 2,713.50 × 654.75
  4. Step 4: Simplify right side
    1,809x = 1,776,664.13
  5. Step 5: Solve for x
    x = 1,776,664.13/1,809
  6. Step 6: Final answer
    x = 982.13

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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.