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Finding the Fourth Proportional to 3,104.52, 4,653.90 and 1,642.44

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Solution

The fourth proportional to 3,104.52, 4,653.90 and 1,642.44 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.52 : 4,653.90 = 1,642.44 : x
  2. Step 2: Convert to fraction form
    3,104.52/4,653.90 = 1,642.44/x
  3. Step 3: Cross multiply
    3,104.52x = 4,653.90 × 1,642.44
  4. Step 4: Simplify right side
    3,104.52x = 7,643,751.52
  5. Step 5: Solve for x
    x = 7,643,751.52/3,104.52
  6. Step 6: Final answer
    x = 2,462.14

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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.