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Finding the Fourth Proportional to 1,832.19, 2,738.23 and 1,339.64

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Solution

The fourth proportional to 1,832.19, 2,738.23 and 1,339.64 is: 2,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.19 : 2,738.23 = 1,339.64 : x
  2. Step 2: Convert to fraction form
    1,832.19/2,738.23 = 1,339.64/x
  3. Step 3: Cross multiply
    1,832.19x = 2,738.23 × 1,339.64
  4. Step 4: Simplify right side
    1,832.19x = 3,668,241.32
  5. Step 5: Solve for x
    x = 3,668,241.32/1,832.19
  6. Step 6: Final answer
    x = 2,002.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.