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Finding the Fourth Proportional to 2,877.39, 3,969.81 and 1,618.23

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Solution

The fourth proportional to 2,877.39, 3,969.81 and 1,618.23 is: 2,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.39 : 3,969.81 = 1,618.23 : x
  2. Step 2: Convert to fraction form
    2,877.39/3,969.81 = 1,618.23/x
  3. Step 3: Cross multiply
    2,877.39x = 3,969.81 × 1,618.23
  4. Step 4: Simplify right side
    2,877.39x = 6,424,065.64
  5. Step 5: Solve for x
    x = 6,424,065.64/2,877.39
  6. Step 6: Final answer
    x = 2,232.60

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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.