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Finding the Fourth Proportional to 3,002.99, 4,504.93 and 1,770.98

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Solution

The fourth proportional to 3,002.99, 4,504.93 and 1,770.98 is: 2,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.99 : 4,504.93 = 1,770.98 : x
  2. Step 2: Convert to fraction form
    3,002.99/4,504.93 = 1,770.98/x
  3. Step 3: Cross multiply
    3,002.99x = 4,504.93 × 1,770.98
  4. Step 4: Simplify right side
    3,002.99x = 7,978,113.98
  5. Step 5: Solve for x
    x = 7,978,113.98/3,002.99
  6. Step 6: Final answer
    x = 2,656.73

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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.