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Finding the Fourth Proportional to 2,707, 3,735.68 and 1,465

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Solution

The fourth proportional to 2,707, 3,735.68 and 1,465 is: 2,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707 : 3,735.68 = 1,465 : x
  2. Step 2: Convert to fraction form
    2,707/3,735.68 = 1,465/x
  3. Step 3: Cross multiply
    2,707x = 3,735.68 × 1,465
  4. Step 4: Simplify right side
    2,707x = 5,472,771.20
  5. Step 5: Solve for x
    x = 5,472,771.20/2,707
  6. Step 6: Final answer
    x = 2,021.71

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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.