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Finding the Fourth Proportional to 2,881.71, 3,977.64 and 1,805.57

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Solution

The fourth proportional to 2,881.71, 3,977.64 and 1,805.57 is: 2,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.71 : 3,977.64 = 1,805.57 : x
  2. Step 2: Convert to fraction form
    2,881.71/3,977.64 = 1,805.57/x
  3. Step 3: Cross multiply
    2,881.71x = 3,977.64 × 1,805.57
  4. Step 4: Simplify right side
    2,881.71x = 7,181,887.57
  5. Step 5: Solve for x
    x = 7,181,887.57/2,881.71
  6. Step 6: Final answer
    x = 2,492.23

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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.