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Finding the Fourth Proportional to 2,039.57, 2,813.48 and 1,330.52

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Solution

The fourth proportional to 2,039.57, 2,813.48 and 1,330.52 is: 1,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.57 : 2,813.48 = 1,330.52 : x
  2. Step 2: Convert to fraction form
    2,039.57/2,813.48 = 1,330.52/x
  3. Step 3: Cross multiply
    2,039.57x = 2,813.48 × 1,330.52
  4. Step 4: Simplify right side
    2,039.57x = 3,743,370.69
  5. Step 5: Solve for x
    x = 3,743,370.69/2,039.57
  6. Step 6: Final answer
    x = 1,835.38

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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.