Home / 2,076.04-3,113.70-777.24

Finding the Fourth Proportional to 2,076.04, 3,113.70 and 777.24

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Solution

The fourth proportional to 2,076.04, 3,113.70 and 777.24 is: 1,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.04 : 3,113.70 = 777.24 : x
  2. Step 2: Convert to fraction form
    2,076.04/3,113.70 = 777.24/x
  3. Step 3: Cross multiply
    2,076.04x = 3,113.70 × 777.24
  4. Step 4: Simplify right side
    2,076.04x = 2,420,092.19
  5. Step 5: Solve for x
    x = 2,420,092.19/2,076.04
  6. Step 6: Final answer
    x = 1,165.73

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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.