Home / 1,542.16-2,114.40-1,514.42

Finding the Fourth Proportional to 1,542.16, 2,114.40 and 1,514.42

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Solution

The fourth proportional to 1,542.16, 2,114.40 and 1,514.42 is: 2,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.16 : 2,114.40 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    1,542.16/2,114.40 = 1,514.42/x
  3. Step 3: Cross multiply
    1,542.16x = 2,114.40 × 1,514.42
  4. Step 4: Simplify right side
    1,542.16x = 3,202,089.65
  5. Step 5: Solve for x
    x = 3,202,089.65/1,542.16
  6. Step 6: Final answer
    x = 2,076.37

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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.