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Finding the Fourth Proportional to 2,682.63, 3,701.73 and 1,503.68

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Solution

The fourth proportional to 2,682.63, 3,701.73 and 1,503.68 is: 2,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.63 : 3,701.73 = 1,503.68 : x
  2. Step 2: Convert to fraction form
    2,682.63/3,701.73 = 1,503.68/x
  3. Step 3: Cross multiply
    2,682.63x = 3,701.73 × 1,503.68
  4. Step 4: Simplify right side
    2,682.63x = 5,566,206.53
  5. Step 5: Solve for x
    x = 5,566,206.53/2,682.63
  6. Step 6: Final answer
    x = 2,074.91

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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.