Home / 1,468.83-2,204.21-982.11

Finding the Fourth Proportional to 1,468.83, 2,204.21 and 982.11

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Solution

The fourth proportional to 1,468.83, 2,204.21 and 982.11 is: 1,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.83 : 2,204.21 = 982.11 : x
  2. Step 2: Convert to fraction form
    1,468.83/2,204.21 = 982.11/x
  3. Step 3: Cross multiply
    1,468.83x = 2,204.21 × 982.11
  4. Step 4: Simplify right side
    1,468.83x = 2,164,771.77
  5. Step 5: Solve for x
    x = 2,164,771.77/1,468.83
  6. Step 6: Final answer
    x = 1,473.81

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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.