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Finding the Fourth Proportional to 3,259.99, 4,498.90 and 2,000.64

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Solution

The fourth proportional to 3,259.99, 4,498.90 and 2,000.64 is: 2,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.99 : 4,498.90 = 2,000.64 : x
  2. Step 2: Convert to fraction form
    3,259.99/4,498.90 = 2,000.64/x
  3. Step 3: Cross multiply
    3,259.99x = 4,498.90 × 2,000.64
  4. Step 4: Simplify right side
    3,259.99x = 9,000,674.29
  5. Step 5: Solve for x
    x = 9,000,674.29/3,259.99
  6. Step 6: Final answer
    x = 2,760.95

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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.