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Finding the Fourth Proportional to 1,948.64, 2,922.96 and 794.36

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Solution

The fourth proportional to 1,948.64, 2,922.96 and 794.36 is: 1,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.64 : 2,922.96 = 794.36 : x
  2. Step 2: Convert to fraction form
    1,948.64/2,922.96 = 794.36/x
  3. Step 3: Cross multiply
    1,948.64x = 2,922.96 × 794.36
  4. Step 4: Simplify right side
    1,948.64x = 2,321,882.51
  5. Step 5: Solve for x
    x = 2,321,882.51/1,948.64
  6. Step 6: Final answer
    x = 1,191.54

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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.