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Finding the Fourth Proportional to 1,931.70, 2,662.82 and 1,185.08

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Solution

The fourth proportional to 1,931.70, 2,662.82 and 1,185.08 is: 1,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.70 : 2,662.82 = 1,185.08 : x
  2. Step 2: Convert to fraction form
    1,931.70/2,662.82 = 1,185.08/x
  3. Step 3: Cross multiply
    1,931.70x = 2,662.82 × 1,185.08
  4. Step 4: Simplify right side
    1,931.70x = 3,155,661.57
  5. Step 5: Solve for x
    x = 3,155,661.57/1,931.70
  6. Step 6: Final answer
    x = 1,633.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.