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Finding the Fourth Proportional to 2,808, 4,209.84 and 1,507.68

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Solution

The fourth proportional to 2,808, 4,209.84 and 1,507.68 is: 2,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808 : 4,209.84 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    2,808/4,209.84 = 1,507.68/x
  3. Step 3: Cross multiply
    2,808x = 4,209.84 × 1,507.68
  4. Step 4: Simplify right side
    2,808x = 6,347,091.57
  5. Step 5: Solve for x
    x = 6,347,091.57/2,808
  6. Step 6: Final answer
    x = 2,260.36

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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.