Home / 2,023-2,791.08-1,277.74

Finding the Fourth Proportional to 2,023, 2,791.08 and 1,277.74

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Solution

The fourth proportional to 2,023, 2,791.08 and 1,277.74 is: 1,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 2,791.08 = 1,277.74 : x
  2. Step 2: Convert to fraction form
    2,023/2,791.08 = 1,277.74/x
  3. Step 3: Cross multiply
    2,023x = 2,791.08 × 1,277.74
  4. Step 4: Simplify right side
    2,023x = 3,566,274.56
  5. Step 5: Solve for x
    x = 3,566,274.56/2,023
  6. Step 6: Final answer
    x = 1,762.86

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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.