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Finding the Fourth Proportional to 3,186.96, 4,398.84 and 1,790.16

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Solution

The fourth proportional to 3,186.96, 4,398.84 and 1,790.16 is: 2,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.96 : 4,398.84 = 1,790.16 : x
  2. Step 2: Convert to fraction form
    3,186.96/4,398.84 = 1,790.16/x
  3. Step 3: Cross multiply
    3,186.96x = 4,398.84 × 1,790.16
  4. Step 4: Simplify right side
    3,186.96x = 7,874,627.41
  5. Step 5: Solve for x
    x = 7,874,627.41/3,186.96
  6. Step 6: Final answer
    x = 2,470.89

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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.