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Finding the Fourth Proportional to 2,590.39, 3,575.37 and 1,542.25

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Solution

The fourth proportional to 2,590.39, 3,575.37 and 1,542.25 is: 2,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.39 : 3,575.37 = 1,542.25 : x
  2. Step 2: Convert to fraction form
    2,590.39/3,575.37 = 1,542.25/x
  3. Step 3: Cross multiply
    2,590.39x = 3,575.37 × 1,542.25
  4. Step 4: Simplify right side
    2,590.39x = 5,514,114.38
  5. Step 5: Solve for x
    x = 5,514,114.38/2,590.39
  6. Step 6: Final answer
    x = 2,128.68

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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.