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Finding the Fourth Proportional to 2,511.73, 3,465.88 and 1,449.69

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Solution

The fourth proportional to 2,511.73, 3,465.88 and 1,449.69 is: 2,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.73 : 3,465.88 = 1,449.69 : x
  2. Step 2: Convert to fraction form
    2,511.73/3,465.88 = 1,449.69/x
  3. Step 3: Cross multiply
    2,511.73x = 3,465.88 × 1,449.69
  4. Step 4: Simplify right side
    2,511.73x = 5,024,451.58
  5. Step 5: Solve for x
    x = 5,024,451.58/2,511.73
  6. Step 6: Final answer
    x = 2,000.39

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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.