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Finding the Fourth Proportional to 1,971.19, 2,954.76 and 737.74

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Solution

The fourth proportional to 1,971.19, 2,954.76 and 737.74 is: 1,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.19 : 2,954.76 = 737.74 : x
  2. Step 2: Convert to fraction form
    1,971.19/2,954.76 = 737.74/x
  3. Step 3: Cross multiply
    1,971.19x = 2,954.76 × 737.74
  4. Step 4: Simplify right side
    1,971.19x = 2,179,844.64
  5. Step 5: Solve for x
    x = 2,179,844.64/1,971.19
  6. Step 6: Final answer
    x = 1,105.85

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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.