Home / 2,211.70-3,314.48-977.26

Finding the Fourth Proportional to 2,211.70, 3,314.48 and 977.26

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Solution

The fourth proportional to 2,211.70, 3,314.48 and 977.26 is: 1,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.70 : 3,314.48 = 977.26 : x
  2. Step 2: Convert to fraction form
    2,211.70/3,314.48 = 977.26/x
  3. Step 3: Cross multiply
    2,211.70x = 3,314.48 × 977.26
  4. Step 4: Simplify right side
    2,211.70x = 3,239,108.72
  5. Step 5: Solve for x
    x = 3,239,108.72/2,211.70
  6. Step 6: Final answer
    x = 1,464.53

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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.