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Finding the Fourth Proportional to 1,763.29, 2,645.02 and 1,454.57

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Solution

The fourth proportional to 1,763.29, 2,645.02 and 1,454.57 is: 2,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.29 : 2,645.02 = 1,454.57 : x
  2. Step 2: Convert to fraction form
    1,763.29/2,645.02 = 1,454.57/x
  3. Step 3: Cross multiply
    1,763.29x = 2,645.02 × 1,454.57
  4. Step 4: Simplify right side
    1,763.29x = 3,847,380.13
  5. Step 5: Solve for x
    x = 3,847,380.13/1,763.29
  6. Step 6: Final answer
    x = 2,181.94

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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.