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Finding the Fourth Proportional to 2,682.14, 3,701.57 and 1,503.38

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Solution

The fourth proportional to 2,682.14, 3,701.57 and 1,503.38 is: 2,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.14 : 3,701.57 = 1,503.38 : x
  2. Step 2: Convert to fraction form
    2,682.14/3,701.57 = 1,503.38/x
  3. Step 3: Cross multiply
    2,682.14x = 3,701.57 × 1,503.38
  4. Step 4: Simplify right side
    2,682.14x = 5,564,868.04
  5. Step 5: Solve for x
    x = 5,564,868.04/2,682.14
  6. Step 6: Final answer
    x = 2,074.79

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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.