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Finding the Fourth Proportional to 2,062.06, 3,093.63 and 763.90

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Solution

The fourth proportional to 2,062.06, 3,093.63 and 763.90 is: 1,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.06 : 3,093.63 = 763.90 : x
  2. Step 2: Convert to fraction form
    2,062.06/3,093.63 = 763.90/x
  3. Step 3: Cross multiply
    2,062.06x = 3,093.63 × 763.90
  4. Step 4: Simplify right side
    2,062.06x = 2,363,223.96
  5. Step 5: Solve for x
    x = 2,363,223.96/2,062.06
  6. Step 6: Final answer
    x = 1,146.05

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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.