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Finding the Fourth Proportional to 2,755.86, 3,803.09 and 1,636.74

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Solution

The fourth proportional to 2,755.86, 3,803.09 and 1,636.74 is: 2,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.86 : 3,803.09 = 1,636.74 : x
  2. Step 2: Convert to fraction form
    2,755.86/3,803.09 = 1,636.74/x
  3. Step 3: Cross multiply
    2,755.86x = 3,803.09 × 1,636.74
  4. Step 4: Simplify right side
    2,755.86x = 6,224,661.34
  5. Step 5: Solve for x
    x = 6,224,661.34/2,755.86
  6. Step 6: Final answer
    x = 2,258.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.