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Finding the Fourth Proportional to 1,788.84, 2,682.90 and 490.40

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Solution

The fourth proportional to 1,788.84, 2,682.90 and 490.40 is: 735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.84 : 2,682.90 = 490.40 : x
  2. Step 2: Convert to fraction form
    1,788.84/2,682.90 = 490.40/x
  3. Step 3: Cross multiply
    1,788.84x = 2,682.90 × 490.40
  4. Step 4: Simplify right side
    1,788.84x = 1,315,694.16
  5. Step 5: Solve for x
    x = 1,315,694.16/1,788.84
  6. Step 6: Final answer
    x = 735.50

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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.