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Finding the Fourth Proportional to 1,942.72, 2,915.34 and 788.56

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Solution

The fourth proportional to 1,942.72, 2,915.34 and 788.56 is: 1,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.72 : 2,915.34 = 788.56 : x
  2. Step 2: Convert to fraction form
    1,942.72/2,915.34 = 788.56/x
  3. Step 3: Cross multiply
    1,942.72x = 2,915.34 × 788.56
  4. Step 4: Simplify right side
    1,942.72x = 2,298,920.51
  5. Step 5: Solve for x
    x = 2,298,920.51/1,942.72
  6. Step 6: Final answer
    x = 1,183.35

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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.