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Finding the Fourth Proportional to 2,651.63, 3,659.42 and 1,532.77

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Solution

The fourth proportional to 2,651.63, 3,659.42 and 1,532.77 is: 2,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.63 : 3,659.42 = 1,532.77 : x
  2. Step 2: Convert to fraction form
    2,651.63/3,659.42 = 1,532.77/x
  3. Step 3: Cross multiply
    2,651.63x = 3,659.42 × 1,532.77
  4. Step 4: Simplify right side
    2,651.63x = 5,609,049.19
  5. Step 5: Solve for x
    x = 5,609,049.19/2,651.63
  6. Step 6: Final answer
    x = 2,115.32

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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.