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Finding the Fourth Proportional to 2,590.74, 3,887.51 and 2,404.80

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Solution

The fourth proportional to 2,590.74, 3,887.51 and 2,404.80 is: 3,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.74 : 3,887.51 = 2,404.80 : x
  2. Step 2: Convert to fraction form
    2,590.74/3,887.51 = 2,404.80/x
  3. Step 3: Cross multiply
    2,590.74x = 3,887.51 × 2,404.80
  4. Step 4: Simplify right side
    2,590.74x = 9,348,672.02
  5. Step 5: Solve for x
    x = 9,348,672.02/2,590.74
  6. Step 6: Final answer
    x = 3,608.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.