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Finding the Fourth Proportional to 2,661.42, 3,673.32 and 1,665.93

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Solution

The fourth proportional to 2,661.42, 3,673.32 and 1,665.93 is: 2,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.42 : 3,673.32 = 1,665.93 : x
  2. Step 2: Convert to fraction form
    2,661.42/3,673.32 = 1,665.93/x
  3. Step 3: Cross multiply
    2,661.42x = 3,673.32 × 1,665.93
  4. Step 4: Simplify right side
    2,661.42x = 6,119,493.99
  5. Step 5: Solve for x
    x = 6,119,493.99/2,661.42
  6. Step 6: Final answer
    x = 2,299.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.