Home / 1,763.62-2,433.81-977.68

Finding the Fourth Proportional to 1,763.62, 2,433.81 and 977.68

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Solution

The fourth proportional to 1,763.62, 2,433.81 and 977.68 is: 1,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.62 : 2,433.81 = 977.68 : x
  2. Step 2: Convert to fraction form
    1,763.62/2,433.81 = 977.68/x
  3. Step 3: Cross multiply
    1,763.62x = 2,433.81 × 977.68
  4. Step 4: Simplify right side
    1,763.62x = 2,379,487.36
  5. Step 5: Solve for x
    x = 2,379,487.36/1,763.62
  6. Step 6: Final answer
    x = 1,349.21

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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.