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Finding the Fourth Proportional to 2,659.55, 3,671.48 and 1,665.38

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Solution

The fourth proportional to 2,659.55, 3,671.48 and 1,665.38 is: 2,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.55 : 3,671.48 = 1,665.38 : x
  2. Step 2: Convert to fraction form
    2,659.55/3,671.48 = 1,665.38/x
  3. Step 3: Cross multiply
    2,659.55x = 3,671.48 × 1,665.38
  4. Step 4: Simplify right side
    2,659.55x = 6,114,409.36
  5. Step 5: Solve for x
    x = 6,114,409.36/2,659.55
  6. Step 6: Final answer
    x = 2,299.04

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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.