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Finding the Fourth Proportional to 4,608, 6,907.23 and 1,833.48

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Solution

The fourth proportional to 4,608, 6,907.23 and 1,833.48 is: 2,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608 : 6,907.23 = 1,833.48 : x
  2. Step 2: Convert to fraction form
    4,608/6,907.23 = 1,833.48/x
  3. Step 3: Cross multiply
    4,608x = 6,907.23 × 1,833.48
  4. Step 4: Simplify right side
    4,608x = 12,664,268.06
  5. Step 5: Solve for x
    x = 12,664,268.06/4,608
  6. Step 6: Final answer
    x = 2,748.32

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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.