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Finding the Fourth Proportional to 2,499.83, 3,450.50 and 2,002.29

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Solution

The fourth proportional to 2,499.83, 3,450.50 and 2,002.29 is: 2,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.83 : 3,450.50 = 2,002.29 : x
  2. Step 2: Convert to fraction form
    2,499.83/3,450.50 = 2,002.29/x
  3. Step 3: Cross multiply
    2,499.83x = 3,450.50 × 2,002.29
  4. Step 4: Simplify right side
    2,499.83x = 6,908,891.63
  5. Step 5: Solve for x
    x = 6,908,891.63/2,499.83
  6. Step 6: Final answer
    x = 2,763.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.