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Finding the Fourth Proportional to 4,308.80, 6,457.80 and 2,112.80

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Solution

The fourth proportional to 4,308.80, 6,457.80 and 2,112.80 is: 3,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.80 : 6,457.80 = 2,112.80 : x
  2. Step 2: Convert to fraction form
    4,308.80/6,457.80 = 2,112.80/x
  3. Step 3: Cross multiply
    4,308.80x = 6,457.80 × 2,112.80
  4. Step 4: Simplify right side
    4,308.80x = 13,644,039.84
  5. Step 5: Solve for x
    x = 13,644,039.84/4,308.80
  6. Step 6: Final answer
    x = 3,166.55

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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.