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Finding the Fourth Proportional to 2,877.94, 3,971.46 and 1,619.02

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Solution

The fourth proportional to 2,877.94, 3,971.46 and 1,619.02 is: 2,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.94 : 3,971.46 = 1,619.02 : x
  2. Step 2: Convert to fraction form
    2,877.94/3,971.46 = 1,619.02/x
  3. Step 3: Cross multiply
    2,877.94x = 3,971.46 × 1,619.02
  4. Step 4: Simplify right side
    2,877.94x = 6,429,873.17
  5. Step 5: Solve for x
    x = 6,429,873.17/2,877.94
  6. Step 6: Final answer
    x = 2,234.19

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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.