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Finding the Fourth Proportional to 1,764.09, 2,647.73 and 943.07

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Solution

The fourth proportional to 1,764.09, 2,647.73 and 943.07 is: 1,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.09 : 2,647.73 = 943.07 : x
  2. Step 2: Convert to fraction form
    1,764.09/2,647.73 = 943.07/x
  3. Step 3: Cross multiply
    1,764.09x = 2,647.73 × 943.07
  4. Step 4: Simplify right side
    1,764.09x = 2,496,994.73
  5. Step 5: Solve for x
    x = 2,496,994.73/1,764.09
  6. Step 6: Final answer
    x = 1,415.46

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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.