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Finding the Fourth Proportional to 1,971.36, 2,956.68 and 738.45

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Solution

The fourth proportional to 1,971.36, 2,956.68 and 738.45 is: 1,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.36 : 2,956.68 = 738.45 : x
  2. Step 2: Convert to fraction form
    1,971.36/2,956.68 = 738.45/x
  3. Step 3: Cross multiply
    1,971.36x = 2,956.68 × 738.45
  4. Step 4: Simplify right side
    1,971.36x = 2,183,360.35
  5. Step 5: Solve for x
    x = 2,183,360.35/1,971.36
  6. Step 6: Final answer
    x = 1,107.54

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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.