Home / 1,465.96-2,194.62-977.80

Finding the Fourth Proportional to 1,465.96, 2,194.62 and 977.80

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Solution

The fourth proportional to 1,465.96, 2,194.62 and 977.80 is: 1,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.96 : 2,194.62 = 977.80 : x
  2. Step 2: Convert to fraction form
    1,465.96/2,194.62 = 977.80/x
  3. Step 3: Cross multiply
    1,465.96x = 2,194.62 × 977.80
  4. Step 4: Simplify right side
    1,465.96x = 2,145,899.44
  5. Step 5: Solve for x
    x = 2,145,899.44/1,465.96
  6. Step 6: Final answer
    x = 1,463.82

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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.