Home / 2,023.73-3,036.95-928.20

Finding the Fourth Proportional to 2,023.73, 3,036.95 and 928.20

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Solution

The fourth proportional to 2,023.73, 3,036.95 and 928.20 is: 1,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.73 : 3,036.95 = 928.20 : x
  2. Step 2: Convert to fraction form
    2,023.73/3,036.95 = 928.20/x
  3. Step 3: Cross multiply
    2,023.73x = 3,036.95 × 928.20
  4. Step 4: Simplify right side
    2,023.73x = 2,818,896.99
  5. Step 5: Solve for x
    x = 2,818,896.99/2,023.73
  6. Step 6: Final answer
    x = 1,392.92

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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.