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Finding the Fourth Proportional to 2,210.40, 3,315.82 and 629.12

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Solution

The fourth proportional to 2,210.40, 3,315.82 and 629.12 is: 943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.40 : 3,315.82 = 629.12 : x
  2. Step 2: Convert to fraction form
    2,210.40/3,315.82 = 629.12/x
  3. Step 3: Cross multiply
    2,210.40x = 3,315.82 × 629.12
  4. Step 4: Simplify right side
    2,210.40x = 2,086,048.68
  5. Step 5: Solve for x
    x = 2,086,048.68/2,210.40
  6. Step 6: Final answer
    x = 943.74

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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.