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Finding the Fourth Proportional to 2,740.34, 3,782.16 and 1,621.90

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Solution

The fourth proportional to 2,740.34, 3,782.16 and 1,621.90 is: 2,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.34 : 3,782.16 = 1,621.90 : x
  2. Step 2: Convert to fraction form
    2,740.34/3,782.16 = 1,621.90/x
  3. Step 3: Cross multiply
    2,740.34x = 3,782.16 × 1,621.90
  4. Step 4: Simplify right side
    2,740.34x = 6,134,290.03
  5. Step 5: Solve for x
    x = 6,134,290.03/2,740.34
  6. Step 6: Final answer
    x = 2,238.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.