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Finding the Fourth Proportional to 2,665.89, 4,000.56 and 1,205.06

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Solution

The fourth proportional to 2,665.89, 4,000.56 and 1,205.06 is: 1,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.89 : 4,000.56 = 1,205.06 : x
  2. Step 2: Convert to fraction form
    2,665.89/4,000.56 = 1,205.06/x
  3. Step 3: Cross multiply
    2,665.89x = 4,000.56 × 1,205.06
  4. Step 4: Simplify right side
    2,665.89x = 4,820,894.83
  5. Step 5: Solve for x
    x = 4,820,894.83/2,665.89
  6. Step 6: Final answer
    x = 1,808.36

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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.