Home / 1,763.22-2,433.40-977.42

Finding the Fourth Proportional to 1,763.22, 2,433.40 and 977.42

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Solution

The fourth proportional to 1,763.22, 2,433.40 and 977.42 is: 1,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.22 : 2,433.40 = 977.42 : x
  2. Step 2: Convert to fraction form
    1,763.22/2,433.40 = 977.42/x
  3. Step 3: Cross multiply
    1,763.22x = 2,433.40 × 977.42
  4. Step 4: Simplify right side
    1,763.22x = 2,378,453.83
  5. Step 5: Solve for x
    x = 2,378,453.83/1,763.22
  6. Step 6: Final answer
    x = 1,348.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.