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Finding the Fourth Proportional to 2,555.41, 3,832.30 and 995.31

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Solution

The fourth proportional to 2,555.41, 3,832.30 and 995.31 is: 1,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.41 : 3,832.30 = 995.31 : x
  2. Step 2: Convert to fraction form
    2,555.41/3,832.30 = 995.31/x
  3. Step 3: Cross multiply
    2,555.41x = 3,832.30 × 995.31
  4. Step 4: Simplify right side
    2,555.41x = 3,814,326.51
  5. Step 5: Solve for x
    x = 3,814,326.51/2,555.41
  6. Step 6: Final answer
    x = 1,492.65

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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.