Home / 2,023.07-3,034.74-542.28

Finding the Fourth Proportional to 2,023.07, 3,034.74 and 542.28

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Solution

The fourth proportional to 2,023.07, 3,034.74 and 542.28 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.07 : 3,034.74 = 542.28 : x
  2. Step 2: Convert to fraction form
    2,023.07/3,034.74 = 542.28/x
  3. Step 3: Cross multiply
    2,023.07x = 3,034.74 × 542.28
  4. Step 4: Simplify right side
    2,023.07x = 1,645,692.22
  5. Step 5: Solve for x
    x = 1,645,692.22/2,023.07
  6. Step 6: Final answer
    x = 813.46

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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.