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Finding the Fourth Proportional to 3,026.52, 4,540.22 and 1,465.25

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Solution

The fourth proportional to 3,026.52, 4,540.22 and 1,465.25 is: 2,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.52 : 4,540.22 = 1,465.25 : x
  2. Step 2: Convert to fraction form
    3,026.52/4,540.22 = 1,465.25/x
  3. Step 3: Cross multiply
    3,026.52x = 4,540.22 × 1,465.25
  4. Step 4: Simplify right side
    3,026.52x = 6,652,532.82
  5. Step 5: Solve for x
    x = 6,652,532.82/3,026.52
  6. Step 6: Final answer
    x = 2,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.