Home / 1,401.40-2,102.10-982.23

Finding the Fourth Proportional to 1,401.40, 2,102.10 and 982.23

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Solution

The fourth proportional to 1,401.40, 2,102.10 and 982.23 is: 1,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.40 : 2,102.10 = 982.23 : x
  2. Step 2: Convert to fraction form
    1,401.40/2,102.10 = 982.23/x
  3. Step 3: Cross multiply
    1,401.40x = 2,102.10 × 982.23
  4. Step 4: Simplify right side
    1,401.40x = 2,064,735.17
  5. Step 5: Solve for x
    x = 2,064,735.17/1,401.40
  6. Step 6: Final answer
    x = 1,473.34

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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.