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Finding the Fourth Proportional to 3,131.33, 4,698.18 and 1,669.68

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Solution

The fourth proportional to 3,131.33, 4,698.18 and 1,669.68 is: 2,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.33 : 4,698.18 = 1,669.68 : x
  2. Step 2: Convert to fraction form
    3,131.33/4,698.18 = 1,669.68/x
  3. Step 3: Cross multiply
    3,131.33x = 4,698.18 × 1,669.68
  4. Step 4: Simplify right side
    3,131.33x = 7,844,457.18
  5. Step 5: Solve for x
    x = 7,844,457.18/3,131.33
  6. Step 6: Final answer
    x = 2,505.16

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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.