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Finding the Fourth Proportional to 2,666.09, 3,680.12 and 1,604.45

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Solution

The fourth proportional to 2,666.09, 3,680.12 and 1,604.45 is: 2,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.09 : 3,680.12 = 1,604.45 : x
  2. Step 2: Convert to fraction form
    2,666.09/3,680.12 = 1,604.45/x
  3. Step 3: Cross multiply
    2,666.09x = 3,680.12 × 1,604.45
  4. Step 4: Simplify right side
    2,666.09x = 5,904,568.53
  5. Step 5: Solve for x
    x = 5,904,568.53/2,666.09
  6. Step 6: Final answer
    x = 2,214.69

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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.