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Finding the Fourth Proportional to 2,645.60, 3,949.38 and 2,453.36

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Solution

The fourth proportional to 2,645.60, 3,949.38 and 2,453.36 is: 3,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.60 : 3,949.38 = 2,453.36 : x
  2. Step 2: Convert to fraction form
    2,645.60/3,949.38 = 2,453.36/x
  3. Step 3: Cross multiply
    2,645.60x = 3,949.38 × 2,453.36
  4. Step 4: Simplify right side
    2,645.60x = 9,689,231.17
  5. Step 5: Solve for x
    x = 9,689,231.17/2,645.60
  6. Step 6: Final answer
    x = 3,662.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.