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Finding the Fourth Proportional to 2,448.96, 3,669.84 and 1,930.23

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Solution

The fourth proportional to 2,448.96, 3,669.84 and 1,930.23 is: 2,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.96 : 3,669.84 = 1,930.23 : x
  2. Step 2: Convert to fraction form
    2,448.96/3,669.84 = 1,930.23/x
  3. Step 3: Cross multiply
    2,448.96x = 3,669.84 × 1,930.23
  4. Step 4: Simplify right side
    2,448.96x = 7,083,635.26
  5. Step 5: Solve for x
    x = 7,083,635.26/2,448.96
  6. Step 6: Final answer
    x = 2,892.51

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1.5x scale

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.