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Finding the Fourth Proportional to 2,575.17, 3,847.23 and 1,642.86

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Solution

The fourth proportional to 2,575.17, 3,847.23 and 1,642.86 is: 2,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.17 : 3,847.23 = 1,642.86 : x
  2. Step 2: Convert to fraction form
    2,575.17/3,847.23 = 1,642.86/x
  3. Step 3: Cross multiply
    2,575.17x = 3,847.23 × 1,642.86
  4. Step 4: Simplify right side
    2,575.17x = 6,320,460.28
  5. Step 5: Solve for x
    x = 6,320,460.28/2,575.17
  6. Step 6: Final answer
    x = 2,454.39

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