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Finding the Fourth Proportional to 2,884.45, 3,980.55 and 1,558.16

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Solution

The fourth proportional to 2,884.45, 3,980.55 and 1,558.16 is: 2,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.45 : 3,980.55 = 1,558.16 : x
  2. Step 2: Convert to fraction form
    2,884.45/3,980.55 = 1,558.16/x
  3. Step 3: Cross multiply
    2,884.45x = 3,980.55 × 1,558.16
  4. Step 4: Simplify right side
    2,884.45x = 6,202,316.57
  5. Step 5: Solve for x
    x = 6,202,316.57/2,884.45
  6. Step 6: Final answer
    x = 2,150.26

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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.