Home / 1,684.89-2,324.97-986.40

Finding the Fourth Proportional to 1,684.89, 2,324.97 and 986.40

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Solution

The fourth proportional to 1,684.89, 2,324.97 and 986.40 is: 1,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.89 : 2,324.97 = 986.40 : x
  2. Step 2: Convert to fraction form
    1,684.89/2,324.97 = 986.40/x
  3. Step 3: Cross multiply
    1,684.89x = 2,324.97 × 986.40
  4. Step 4: Simplify right side
    1,684.89x = 2,293,350.41
  5. Step 5: Solve for x
    x = 2,293,350.41/1,684.89
  6. Step 6: Final answer
    x = 1,361.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.