Home / 1,516.24-2,083.36-1,205.20

Finding the Fourth Proportional to 1,516.24, 2,083.36 and 1,205.20

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Solution

The fourth proportional to 1,516.24, 2,083.36 and 1,205.20 is: 1,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.24 : 2,083.36 = 1,205.20 : x
  2. Step 2: Convert to fraction form
    1,516.24/2,083.36 = 1,205.20/x
  3. Step 3: Cross multiply
    1,516.24x = 2,083.36 × 1,205.20
  4. Step 4: Simplify right side
    1,516.24x = 2,510,865.47
  5. Step 5: Solve for x
    x = 2,510,865.47/1,516.24
  6. Step 6: Final answer
    x = 1,655.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.