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Finding the Fourth Proportional to 2,883.76, 3,975.94 and 1,887.46

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Solution

The fourth proportional to 2,883.76, 3,975.94 and 1,887.46 is: 2,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.76 : 3,975.94 = 1,887.46 : x
  2. Step 2: Convert to fraction form
    2,883.76/3,975.94 = 1,887.46/x
  3. Step 3: Cross multiply
    2,883.76x = 3,975.94 × 1,887.46
  4. Step 4: Simplify right side
    2,883.76x = 7,504,427.71
  5. Step 5: Solve for x
    x = 7,504,427.71/2,883.76
  6. Step 6: Final answer
    x = 2,602.31

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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.