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Finding the Fourth Proportional to 2,666.40, 4,000.80 and 1,204.80

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Solution

The fourth proportional to 2,666.40, 4,000.80 and 1,204.80 is: 1,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.40 : 4,000.80 = 1,204.80 : x
  2. Step 2: Convert to fraction form
    2,666.40/4,000.80 = 1,204.80/x
  3. Step 3: Cross multiply
    2,666.40x = 4,000.80 × 1,204.80
  4. Step 4: Simplify right side
    2,666.40x = 4,820,163.84
  5. Step 5: Solve for x
    x = 4,820,163.84/2,666.40
  6. Step 6: Final answer
    x = 1,807.74

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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.