Home / 2,071.60-3,112.36-1,997.74

Finding the Fourth Proportional to 2,071.60, 3,112.36 and 1,997.74

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Solution

The fourth proportional to 2,071.60, 3,112.36 and 1,997.74 is: 3,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.60 : 3,112.36 = 1,997.74 : x
  2. Step 2: Convert to fraction form
    2,071.60/3,112.36 = 1,997.74/x
  3. Step 3: Cross multiply
    2,071.60x = 3,112.36 × 1,997.74
  4. Step 4: Simplify right side
    2,071.60x = 6,217,686.07
  5. Step 5: Solve for x
    x = 6,217,686.07/2,071.60
  6. Step 6: Final answer
    x = 3,001.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.