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Finding the Fourth Proportional to 2,660.27, 3,671.02 and 1,465.02

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Solution

The fourth proportional to 2,660.27, 3,671.02 and 1,465.02 is: 2,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.27 : 3,671.02 = 1,465.02 : x
  2. Step 2: Convert to fraction form
    2,660.27/3,671.02 = 1,465.02/x
  3. Step 3: Cross multiply
    2,660.27x = 3,671.02 × 1,465.02
  4. Step 4: Simplify right side
    2,660.27x = 5,378,114.06
  5. Step 5: Solve for x
    x = 5,378,114.06/2,660.27
  6. Step 6: Final answer
    x = 2,021.65

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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.