Home / 2,077.28-3,113.52-777.44

Finding the Fourth Proportional to 2,077.28, 3,113.52 and 777.44

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Solution

The fourth proportional to 2,077.28, 3,113.52 and 777.44 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.28 : 3,113.52 = 777.44 : x
  2. Step 2: Convert to fraction form
    2,077.28/3,113.52 = 777.44/x
  3. Step 3: Cross multiply
    2,077.28x = 3,113.52 × 777.44
  4. Step 4: Simplify right side
    2,077.28x = 2,420,574.99
  5. Step 5: Solve for x
    x = 2,420,574.99/2,077.28
  6. Step 6: Final answer
    x = 1,165.26

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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.