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Finding the Fourth Proportional to 1,788.65, 2,682.80 and 490.31

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Solution

The fourth proportional to 1,788.65, 2,682.80 and 490.31 is: 735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.65 : 2,682.80 = 490.31 : x
  2. Step 2: Convert to fraction form
    1,788.65/2,682.80 = 490.31/x
  3. Step 3: Cross multiply
    1,788.65x = 2,682.80 × 490.31
  4. Step 4: Simplify right side
    1,788.65x = 1,315,401.22
  5. Step 5: Solve for x
    x = 1,315,401.22/1,788.65
  6. Step 6: Final answer
    x = 735.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.