Home / 2,004.14-3,005.98-617.47

Finding the Fourth Proportional to 2,004.14, 3,005.98 and 617.47

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Solution

The fourth proportional to 2,004.14, 3,005.98 and 617.47 is: 926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.14 : 3,005.98 = 617.47 : x
  2. Step 2: Convert to fraction form
    2,004.14/3,005.98 = 617.47/x
  3. Step 3: Cross multiply
    2,004.14x = 3,005.98 × 617.47
  4. Step 4: Simplify right side
    2,004.14x = 1,856,093.41
  5. Step 5: Solve for x
    x = 1,856,093.41/2,004.14
  6. Step 6: Final answer
    x = 926.13

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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.