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Finding the Fourth Proportional to 3,045.99, 4,563.07 and 2,002.84

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Solution

The fourth proportional to 3,045.99, 4,563.07 and 2,002.84 is: 3,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.99 : 4,563.07 = 2,002.84 : x
  2. Step 2: Convert to fraction form
    3,045.99/4,563.07 = 2,002.84/x
  3. Step 3: Cross multiply
    3,045.99x = 4,563.07 × 2,002.84
  4. Step 4: Simplify right side
    3,045.99x = 9,139,099.12
  5. Step 5: Solve for x
    x = 9,139,099.12/3,045.99
  6. Step 6: Final answer
    x = 3,000.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.