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Finding the Fourth Proportional to 1,788.34, 2,681.43 and 800.97

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Solution

The fourth proportional to 1,788.34, 2,681.43 and 800.97 is: 1,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.34 : 2,681.43 = 800.97 : x
  2. Step 2: Convert to fraction form
    1,788.34/2,681.43 = 800.97/x
  3. Step 3: Cross multiply
    1,788.34x = 2,681.43 × 800.97
  4. Step 4: Simplify right side
    1,788.34x = 2,147,744.99
  5. Step 5: Solve for x
    x = 2,147,744.99/1,788.34
  6. Step 6: Final answer
    x = 1,200.97

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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.