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Finding the Fourth Proportional to 2,570.54, 3,857.95 and 2,408.54

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Solution

The fourth proportional to 2,570.54, 3,857.95 and 2,408.54 is: 3,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.54 : 3,857.95 = 2,408.54 : x
  2. Step 2: Convert to fraction form
    2,570.54/3,857.95 = 2,408.54/x
  3. Step 3: Cross multiply
    2,570.54x = 3,857.95 × 2,408.54
  4. Step 4: Simplify right side
    2,570.54x = 9,292,010.61
  5. Step 5: Solve for x
    x = 9,292,010.61/2,570.54
  6. Step 6: Final answer
    x = 3,614.82

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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.