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Finding the Fourth Proportional to 3,259.72, 4,496.40 and 2,000.98

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Solution

The fourth proportional to 3,259.72, 4,496.40 and 2,000.98 is: 2,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.72 : 4,496.40 = 2,000.98 : x
  2. Step 2: Convert to fraction form
    3,259.72/4,496.40 = 2,000.98/x
  3. Step 3: Cross multiply
    3,259.72x = 4,496.40 × 2,000.98
  4. Step 4: Simplify right side
    3,259.72x = 8,997,206.47
  5. Step 5: Solve for x
    x = 8,997,206.47/3,259.72
  6. Step 6: Final answer
    x = 2,760.12

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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.