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Finding the Fourth Proportional to 2,839.94, 3,919.13 and 1,597.94

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Solution

The fourth proportional to 2,839.94, 3,919.13 and 1,597.94 is: 2,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.94 : 3,919.13 = 1,597.94 : x
  2. Step 2: Convert to fraction form
    2,839.94/3,919.13 = 1,597.94/x
  3. Step 3: Cross multiply
    2,839.94x = 3,919.13 × 1,597.94
  4. Step 4: Simplify right side
    2,839.94x = 6,262,534.59
  5. Step 5: Solve for x
    x = 6,262,534.59/2,839.94
  6. Step 6: Final answer
    x = 2,205.16

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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.