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Finding the Fourth Proportional to 2,037.31, 3,055.34 and 738.46

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Solution

The fourth proportional to 2,037.31, 3,055.34 and 738.46 is: 1,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.31 : 3,055.34 = 738.46 : x
  2. Step 2: Convert to fraction form
    2,037.31/3,055.34 = 738.46/x
  3. Step 3: Cross multiply
    2,037.31x = 3,055.34 × 738.46
  4. Step 4: Simplify right side
    2,037.31x = 2,256,242.68
  5. Step 5: Solve for x
    x = 2,256,242.68/2,037.31
  6. Step 6: Final answer
    x = 1,107.46

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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.