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Finding the Fourth Proportional to 1,768.66, 2,653.43 and 673.34

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Solution

The fourth proportional to 1,768.66, 2,653.43 and 673.34 is: 1,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.66 : 2,653.43 = 673.34 : x
  2. Step 2: Convert to fraction form
    1,768.66/2,653.43 = 673.34/x
  3. Step 3: Cross multiply
    1,768.66x = 2,653.43 × 673.34
  4. Step 4: Simplify right side
    1,768.66x = 1,786,643.92
  5. Step 5: Solve for x
    x = 1,786,643.92/1,768.66
  6. Step 6: Final answer
    x = 1,010.17

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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.