Home / 1,537.12-2,124.06-1,163.44

Finding the Fourth Proportional to 1,537.12, 2,124.06 and 1,163.44

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Solution

The fourth proportional to 1,537.12, 2,124.06 and 1,163.44 is: 1,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.12 : 2,124.06 = 1,163.44 : x
  2. Step 2: Convert to fraction form
    1,537.12/2,124.06 = 1,163.44/x
  3. Step 3: Cross multiply
    1,537.12x = 2,124.06 × 1,163.44
  4. Step 4: Simplify right side
    1,537.12x = 2,471,216.37
  5. Step 5: Solve for x
    x = 2,471,216.37/1,537.12
  6. Step 6: Final answer
    x = 1,607.69

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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.