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Finding the Fourth Proportional to 1,969.72, 2,955.78 and 815.32

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Solution

The fourth proportional to 1,969.72, 2,955.78 and 815.32 is: 1,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.72 : 2,955.78 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,969.72/2,955.78 = 815.32/x
  3. Step 3: Cross multiply
    1,969.72x = 2,955.78 × 815.32
  4. Step 4: Simplify right side
    1,969.72x = 2,409,906.55
  5. Step 5: Solve for x
    x = 2,409,906.55/1,969.72
  6. Step 6: Final answer
    x = 1,223.48

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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.