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Finding the Fourth Proportional to 1,786.20, 2,679.69 and 631.95

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Solution

The fourth proportional to 1,786.20, 2,679.69 and 631.95 is: 948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.20 : 2,679.69 = 631.95 : x
  2. Step 2: Convert to fraction form
    1,786.20/2,679.69 = 631.95/x
  3. Step 3: Cross multiply
    1,786.20x = 2,679.69 × 631.95
  4. Step 4: Simplify right side
    1,786.20x = 1,693,430.10
  5. Step 5: Solve for x
    x = 1,693,430.10/1,786.20
  6. Step 6: Final answer
    x = 948.06

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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.