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Finding the Fourth Proportional to 2,884.57, 3,980.70 and 1,558.27

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Solution

The fourth proportional to 2,884.57, 3,980.70 and 1,558.27 is: 2,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.57 : 3,980.70 = 1,558.27 : x
  2. Step 2: Convert to fraction form
    2,884.57/3,980.70 = 1,558.27/x
  3. Step 3: Cross multiply
    2,884.57x = 3,980.70 × 1,558.27
  4. Step 4: Simplify right side
    2,884.57x = 6,203,005.39
  5. Step 5: Solve for x
    x = 6,203,005.39/2,884.57
  6. Step 6: Final answer
    x = 2,150.41

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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.