Home / 2,070.98-3,102.26-1,027.86

Finding the Fourth Proportional to 2,070.98, 3,102.26 and 1,027.86

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Solution

The fourth proportional to 2,070.98, 3,102.26 and 1,027.86 is: 1,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.98 : 3,102.26 = 1,027.86 : x
  2. Step 2: Convert to fraction form
    2,070.98/3,102.26 = 1,027.86/x
  3. Step 3: Cross multiply
    2,070.98x = 3,102.26 × 1,027.86
  4. Step 4: Simplify right side
    2,070.98x = 3,188,688.96
  5. Step 5: Solve for x
    x = 3,188,688.96/2,070.98
  6. Step 6: Final answer
    x = 1,539.70

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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.