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Finding the Fourth Proportional to 1,636.02, 2,448.90 and 1,578.96

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Solution

The fourth proportional to 1,636.02, 2,448.90 and 1,578.96 is: 2,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.02 : 2,448.90 = 1,578.96 : x
  2. Step 2: Convert to fraction form
    1,636.02/2,448.90 = 1,578.96/x
  3. Step 3: Cross multiply
    1,636.02x = 2,448.90 × 1,578.96
  4. Step 4: Simplify right side
    1,636.02x = 3,866,715.14
  5. Step 5: Solve for x
    x = 3,866,715.14/1,636.02
  6. Step 6: Final answer
    x = 2,363.49

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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.