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Finding the Fourth Proportional to 2,493.15, 3,740.28 and 738.06

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Solution

The fourth proportional to 2,493.15, 3,740.28 and 738.06 is: 1,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.15 : 3,740.28 = 738.06 : x
  2. Step 2: Convert to fraction form
    2,493.15/3,740.28 = 738.06/x
  3. Step 3: Cross multiply
    2,493.15x = 3,740.28 × 738.06
  4. Step 4: Simplify right side
    2,493.15x = 2,760,551.06
  5. Step 5: Solve for x
    x = 2,760,551.06/2,493.15
  6. Step 6: Final answer
    x = 1,107.25

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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.