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Finding the Fourth Proportional to 4,314.64, 6,467.60 and 1,680.50

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Solution

The fourth proportional to 4,314.64, 6,467.60 and 1,680.50 is: 2,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.64 : 6,467.60 = 1,680.50 : x
  2. Step 2: Convert to fraction form
    4,314.64/6,467.60 = 1,680.50/x
  3. Step 3: Cross multiply
    4,314.64x = 6,467.60 × 1,680.50
  4. Step 4: Simplify right side
    4,314.64x = 10,868,801.80
  5. Step 5: Solve for x
    x = 10,868,801.80/4,314.64
  6. Step 6: Final answer
    x = 2,519.05

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Why These Related Problems?

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