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Finding the Fourth Proportional to 1,224.04, 1,836.56 and 737.44

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Solution

The fourth proportional to 1,224.04, 1,836.56 and 737.44 is: 1,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.04 : 1,836.56 = 737.44 : x
  2. Step 2: Convert to fraction form
    1,224.04/1,836.56 = 737.44/x
  3. Step 3: Cross multiply
    1,224.04x = 1,836.56 × 737.44
  4. Step 4: Simplify right side
    1,224.04x = 1,354,352.81
  5. Step 5: Solve for x
    x = 1,354,352.81/1,224.04
  6. Step 6: Final answer
    x = 1,106.46

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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.