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Finding the Fourth Proportional to 2,645.92, 3,650.63 and 1,763.02

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Solution

The fourth proportional to 2,645.92, 3,650.63 and 1,763.02 is: 2,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.92 : 3,650.63 = 1,763.02 : x
  2. Step 2: Convert to fraction form
    2,645.92/3,650.63 = 1,763.02/x
  3. Step 3: Cross multiply
    2,645.92x = 3,650.63 × 1,763.02
  4. Step 4: Simplify right side
    2,645.92x = 6,436,133.70
  5. Step 5: Solve for x
    x = 6,436,133.70/2,645.92
  6. Step 6: Final answer
    x = 2,432.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.