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Finding the Fourth Proportional to 2,558.62, 3,830.64 and 1,680.18

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Solution

The fourth proportional to 2,558.62, 3,830.64 and 1,680.18 is: 2,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.62 : 3,830.64 = 1,680.18 : x
  2. Step 2: Convert to fraction form
    2,558.62/3,830.64 = 1,680.18/x
  3. Step 3: Cross multiply
    2,558.62x = 3,830.64 × 1,680.18
  4. Step 4: Simplify right side
    2,558.62x = 6,436,164.72
  5. Step 5: Solve for x
    x = 6,436,164.72/2,558.62
  6. Step 6: Final answer
    x = 2,515.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.