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Finding the Fourth Proportional to 2,271.68, 3,407.50 and 605.80

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Solution

The fourth proportional to 2,271.68, 3,407.50 and 605.80 is: 908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.68 : 3,407.50 = 605.80 : x
  2. Step 2: Convert to fraction form
    2,271.68/3,407.50 = 605.80/x
  3. Step 3: Cross multiply
    2,271.68x = 3,407.50 × 605.80
  4. Step 4: Simplify right side
    2,271.68x = 2,064,249.35
  5. Step 5: Solve for x
    x = 2,064,249.35/2,271.68
  6. Step 6: Final answer
    x = 908.69

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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.