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Finding the Fourth Proportional to 2,065.70, 3,099 and 1,026.26

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Solution

The fourth proportional to 2,065.70, 3,099 and 1,026.26 is: 1,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.70 : 3,099 = 1,026.26 : x
  2. Step 2: Convert to fraction form
    2,065.70/3,099 = 1,026.26/x
  3. Step 3: Cross multiply
    2,065.70x = 3,099 × 1,026.26
  4. Step 4: Simplify right side
    2,065.70x = 3,180,379.74
  5. Step 5: Solve for x
    x = 3,180,379.74/2,065.70
  6. Step 6: Final answer
    x = 1,539.61

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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.