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Finding the Fourth Proportional to 2,405.61, 3,608.43 and 762.15

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Solution

The fourth proportional to 2,405.61, 3,608.43 and 762.15 is: 1,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.61 : 3,608.43 = 762.15 : x
  2. Step 2: Convert to fraction form
    2,405.61/3,608.43 = 762.15/x
  3. Step 3: Cross multiply
    2,405.61x = 3,608.43 × 762.15
  4. Step 4: Simplify right side
    2,405.61x = 2,750,164.92
  5. Step 5: Solve for x
    x = 2,750,164.92/2,405.61
  6. Step 6: Final answer
    x = 1,143.23

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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.