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Finding the Fourth Proportional to 2,448.41, 3,670.48 and 1,755.86

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Solution

The fourth proportional to 2,448.41, 3,670.48 and 1,755.86 is: 2,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.41 : 3,670.48 = 1,755.86 : x
  2. Step 2: Convert to fraction form
    2,448.41/3,670.48 = 1,755.86/x
  3. Step 3: Cross multiply
    2,448.41x = 3,670.48 × 1,755.86
  4. Step 4: Simplify right side
    2,448.41x = 6,444,832.86
  5. Step 5: Solve for x
    x = 6,444,832.86/2,448.41
  6. Step 6: Final answer
    x = 2,632.26

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