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Finding the Fourth Proportional to 2,562.52, 3,536.04 and 1,514.38

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Solution

The fourth proportional to 2,562.52, 3,536.04 and 1,514.38 is: 2,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.52 : 3,536.04 = 1,514.38 : x
  2. Step 2: Convert to fraction form
    2,562.52/3,536.04 = 1,514.38/x
  3. Step 3: Cross multiply
    2,562.52x = 3,536.04 × 1,514.38
  4. Step 4: Simplify right side
    2,562.52x = 5,354,908.26
  5. Step 5: Solve for x
    x = 5,354,908.26/2,562.52
  6. Step 6: Final answer
    x = 2,089.70

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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.