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Finding the Fourth Proportional to 2,651.74, 3,659.49 and 1,472.86

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Solution

The fourth proportional to 2,651.74, 3,659.49 and 1,472.86 is: 2,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.74 : 3,659.49 = 1,472.86 : x
  2. Step 2: Convert to fraction form
    2,651.74/3,659.49 = 1,472.86/x
  3. Step 3: Cross multiply
    2,651.74x = 3,659.49 × 1,472.86
  4. Step 4: Simplify right side
    2,651.74x = 5,389,916.44
  5. Step 5: Solve for x
    x = 5,389,916.44/2,651.74
  6. Step 6: Final answer
    x = 2,032.60

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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.