Home / 2,126.40-3,190.14-971.88

Finding the Fourth Proportional to 2,126.40, 3,190.14 and 971.88

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Solution

The fourth proportional to 2,126.40, 3,190.14 and 971.88 is: 1,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.40 : 3,190.14 = 971.88 : x
  2. Step 2: Convert to fraction form
    2,126.40/3,190.14 = 971.88/x
  3. Step 3: Cross multiply
    2,126.40x = 3,190.14 × 971.88
  4. Step 4: Simplify right side
    2,126.40x = 3,100,412.45
  5. Step 5: Solve for x
    x = 3,100,412.45/2,126.40
  6. Step 6: Final answer
    x = 1,458.06

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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.