Home / 2,083.40-3,117.78-1,646

Finding the Fourth Proportional to 2,083.40, 3,117.78 and 1,646

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Solution

The fourth proportional to 2,083.40, 3,117.78 and 1,646 is: 2,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.40 : 3,117.78 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,083.40/3,117.78 = 1,646/x
  3. Step 3: Cross multiply
    2,083.40x = 3,117.78 × 1,646
  4. Step 4: Simplify right side
    2,083.40x = 5,131,865.88
  5. Step 5: Solve for x
    x = 5,131,865.88/2,083.40
  6. Step 6: Final answer
    x = 2,463.22

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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.