Home / 2,772.83-3,826.52-1,577.68

Finding the Fourth Proportional to 2,772.83, 3,826.52 and 1,577.68

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Solution

The fourth proportional to 2,772.83, 3,826.52 and 1,577.68 is: 2,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.83 : 3,826.52 = 1,577.68 : x
  2. Step 2: Convert to fraction form
    2,772.83/3,826.52 = 1,577.68/x
  3. Step 3: Cross multiply
    2,772.83x = 3,826.52 × 1,577.68
  4. Step 4: Simplify right side
    2,772.83x = 6,037,024.07
  5. Step 5: Solve for x
    x = 6,037,024.07/2,772.83
  6. Step 6: Final answer
    x = 2,177.21

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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.