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Finding the Fourth Proportional to 3,133.24, 4,698.23 and 941.68

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Solution

The fourth proportional to 3,133.24, 4,698.23 and 941.68 is: 1,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.24 : 4,698.23 = 941.68 : x
  2. Step 2: Convert to fraction form
    3,133.24/4,698.23 = 941.68/x
  3. Step 3: Cross multiply
    3,133.24x = 4,698.23 × 941.68
  4. Step 4: Simplify right side
    3,133.24x = 4,424,219.84
  5. Step 5: Solve for x
    x = 4,424,219.84/3,133.24
  6. Step 6: Final answer
    x = 1,412.03

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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.