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Finding the Fourth Proportional to 2,635.27, 3,639.74 and 1,749.53

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Solution

The fourth proportional to 2,635.27, 3,639.74 and 1,749.53 is: 2,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.27 : 3,639.74 = 1,749.53 : x
  2. Step 2: Convert to fraction form
    2,635.27/3,639.74 = 1,749.53/x
  3. Step 3: Cross multiply
    2,635.27x = 3,639.74 × 1,749.53
  4. Step 4: Simplify right side
    2,635.27x = 6,367,834.67
  5. Step 5: Solve for x
    x = 6,367,834.67/2,635.27
  6. Step 6: Final answer
    x = 2,416.39

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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.