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Finding the Fourth Proportional to 1,971.27, 2,955.31 and 737.99

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Solution

The fourth proportional to 1,971.27, 2,955.31 and 737.99 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.27 : 2,955.31 = 737.99 : x
  2. Step 2: Convert to fraction form
    1,971.27/2,955.31 = 737.99/x
  3. Step 3: Cross multiply
    1,971.27x = 2,955.31 × 737.99
  4. Step 4: Simplify right side
    1,971.27x = 2,180,994.77
  5. Step 5: Solve for x
    x = 2,180,994.77/1,971.27
  6. Step 6: Final answer
    x = 1,106.39

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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.