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Finding the Fourth Proportional to 4,111.60, 6,165.60 and 1,645.60

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Solution

The fourth proportional to 4,111.60, 6,165.60 and 1,645.60 is: 2,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.60 : 6,165.60 = 1,645.60 : x
  2. Step 2: Convert to fraction form
    4,111.60/6,165.60 = 1,645.60/x
  3. Step 3: Cross multiply
    4,111.60x = 6,165.60 × 1,645.60
  4. Step 4: Simplify right side
    4,111.60x = 10,146,111.36
  5. Step 5: Solve for x
    x = 10,146,111.36/4,111.60
  6. Step 6: Final answer
    x = 2,467.68

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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.