Home / 2,256.09-3,384.15-1,023.87

Finding the Fourth Proportional to 2,256.09, 3,384.15 and 1,023.87

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Solution

The fourth proportional to 2,256.09, 3,384.15 and 1,023.87 is: 1,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.09 : 3,384.15 = 1,023.87 : x
  2. Step 2: Convert to fraction form
    2,256.09/3,384.15 = 1,023.87/x
  3. Step 3: Cross multiply
    2,256.09x = 3,384.15 × 1,023.87
  4. Step 4: Simplify right side
    2,256.09x = 3,464,929.66
  5. Step 5: Solve for x
    x = 3,464,929.66/2,256.09
  6. Step 6: Final answer
    x = 1,535.81

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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.