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Finding the Fourth Proportional to 2,845.51, 4,270.17 and 996.63

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Solution

The fourth proportional to 2,845.51, 4,270.17 and 996.63 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.51 : 4,270.17 = 996.63 : x
  2. Step 2: Convert to fraction form
    2,845.51/4,270.17 = 996.63/x
  3. Step 3: Cross multiply
    2,845.51x = 4,270.17 × 996.63
  4. Step 4: Simplify right side
    2,845.51x = 4,255,779.53
  5. Step 5: Solve for x
    x = 4,255,779.53/2,845.51
  6. Step 6: Final answer
    x = 1,495.61

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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.