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Finding the Fourth Proportional to 2,883.52, 3,978.82 and 1,624.50

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Solution

The fourth proportional to 2,883.52, 3,978.82 and 1,624.50 is: 2,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.52 : 3,978.82 = 1,624.50 : x
  2. Step 2: Convert to fraction form
    2,883.52/3,978.82 = 1,624.50/x
  3. Step 3: Cross multiply
    2,883.52x = 3,978.82 × 1,624.50
  4. Step 4: Simplify right side
    2,883.52x = 6,463,574.11
  5. Step 5: Solve for x
    x = 6,463,574.11/2,883.52
  6. Step 6: Final answer
    x = 2,241.56

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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.