Home / 2,104.21-3,156.62-643.17

Finding the Fourth Proportional to 2,104.21, 3,156.62 and 643.17

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Solution

The fourth proportional to 2,104.21, 3,156.62 and 643.17 is: 964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.21 : 3,156.62 = 643.17 : x
  2. Step 2: Convert to fraction form
    2,104.21/3,156.62 = 643.17/x
  3. Step 3: Cross multiply
    2,104.21x = 3,156.62 × 643.17
  4. Step 4: Simplify right side
    2,104.21x = 2,030,240.07
  5. Step 5: Solve for x
    x = 2,030,240.07/2,104.21
  6. Step 6: Final answer
    x = 964.85

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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.