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Finding the Fourth Proportional to 2,666.33, 4,001.64 and 1,205.61

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Solution

The fourth proportional to 2,666.33, 4,001.64 and 1,205.61 is: 1,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.33 : 4,001.64 = 1,205.61 : x
  2. Step 2: Convert to fraction form
    2,666.33/4,001.64 = 1,205.61/x
  3. Step 3: Cross multiply
    2,666.33x = 4,001.64 × 1,205.61
  4. Step 4: Simplify right side
    2,666.33x = 4,824,411.17
  5. Step 5: Solve for x
    x = 4,824,411.17/2,666.33
  6. Step 6: Final answer
    x = 1,809.38

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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.