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Finding the Fourth Proportional to 1,514.36, 2,256.31 and 1,415

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Solution

The fourth proportional to 1,514.36, 2,256.31 and 1,415 is: 2,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.36 : 2,256.31 = 1,415 : x
  2. Step 2: Convert to fraction form
    1,514.36/2,256.31 = 1,415/x
  3. Step 3: Cross multiply
    1,514.36x = 2,256.31 × 1,415
  4. Step 4: Simplify right side
    1,514.36x = 3,192,678.65
  5. Step 5: Solve for x
    x = 3,192,678.65/1,514.36
  6. Step 6: Final answer
    x = 2,108.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.