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Finding the Fourth Proportional to 2,358.63, 3,255.39 and 1,614.65

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Solution

The fourth proportional to 2,358.63, 3,255.39 and 1,614.65 is: 2,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.63 : 3,255.39 = 1,614.65 : x
  2. Step 2: Convert to fraction form
    2,358.63/3,255.39 = 1,614.65/x
  3. Step 3: Cross multiply
    2,358.63x = 3,255.39 × 1,614.65
  4. Step 4: Simplify right side
    2,358.63x = 5,256,299.19
  5. Step 5: Solve for x
    x = 5,256,299.19/2,358.63
  6. Step 6: Final answer
    x = 2,228.54

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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.