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Finding the Fourth Proportional to 4,600.68, 6,899.78 and 2,003

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Solution

The fourth proportional to 4,600.68, 6,899.78 and 2,003 is: 3,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.68 : 6,899.78 = 2,003 : x
  2. Step 2: Convert to fraction form
    4,600.68/6,899.78 = 2,003/x
  3. Step 3: Cross multiply
    4,600.68x = 6,899.78 × 2,003
  4. Step 4: Simplify right side
    4,600.68x = 13,820,259.34
  5. Step 5: Solve for x
    x = 13,820,259.34/4,600.68
  6. Step 6: Final answer
    x = 3,003.96

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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.