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Finding the Fourth Proportional to 4,308.76, 6,460.76 and 1,674.64

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Solution

The fourth proportional to 4,308.76, 6,460.76 and 1,674.64 is: 2,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.76 : 6,460.76 = 1,674.64 : x
  2. Step 2: Convert to fraction form
    4,308.76/6,460.76 = 1,674.64/x
  3. Step 3: Cross multiply
    4,308.76x = 6,460.76 × 1,674.64
  4. Step 4: Simplify right side
    4,308.76x = 10,819,459.39
  5. Step 5: Solve for x
    x = 10,819,459.39/4,308.76
  6. Step 6: Final answer
    x = 2,511.04

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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.