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Finding the Fourth Proportional to 3,109.52, 4,660.08 and 1,645.52

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Solution

The fourth proportional to 3,109.52, 4,660.08 and 1,645.52 is: 2,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.52 : 4,660.08 = 1,645.52 : x
  2. Step 2: Convert to fraction form
    3,109.52/4,660.08 = 1,645.52/x
  3. Step 3: Cross multiply
    3,109.52x = 4,660.08 × 1,645.52
  4. Step 4: Simplify right side
    3,109.52x = 7,668,254.84
  5. Step 5: Solve for x
    x = 7,668,254.84/3,109.52
  6. Step 6: Final answer
    x = 2,466.06

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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.