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Finding the Fourth Proportional to 2,040.16, 3,054.74 and 1,064.20

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Solution

The fourth proportional to 2,040.16, 3,054.74 and 1,064.20 is: 1,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.16 : 3,054.74 = 1,064.20 : x
  2. Step 2: Convert to fraction form
    2,040.16/3,054.74 = 1,064.20/x
  3. Step 3: Cross multiply
    2,040.16x = 3,054.74 × 1,064.20
  4. Step 4: Simplify right side
    2,040.16x = 3,250,839.03
  5. Step 5: Solve for x
    x = 3,250,839.03/2,040.16
  6. Step 6: Final answer
    x = 1,593.43

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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.