Home / 2,431.22-3,647.16-787.23

Finding the Fourth Proportional to 2,431.22, 3,647.16 and 787.23

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Solution

The fourth proportional to 2,431.22, 3,647.16 and 787.23 is: 1,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.22 : 3,647.16 = 787.23 : x
  2. Step 2: Convert to fraction form
    2,431.22/3,647.16 = 787.23/x
  3. Step 3: Cross multiply
    2,431.22x = 3,647.16 × 787.23
  4. Step 4: Simplify right side
    2,431.22x = 2,871,153.77
  5. Step 5: Solve for x
    x = 2,871,153.77/2,431.22
  6. Step 6: Final answer
    x = 1,180.95

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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.