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Finding the Fourth Proportional to 2,880.08, 3,974.60 and 1,638.16

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Solution

The fourth proportional to 2,880.08, 3,974.60 and 1,638.16 is: 2,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.08 : 3,974.60 = 1,638.16 : x
  2. Step 2: Convert to fraction form
    2,880.08/3,974.60 = 1,638.16/x
  3. Step 3: Cross multiply
    2,880.08x = 3,974.60 × 1,638.16
  4. Step 4: Simplify right side
    2,880.08x = 6,511,030.74
  5. Step 5: Solve for x
    x = 6,511,030.74/2,880.08
  6. Step 6: Final answer
    x = 2,260.71

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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.