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Finding the Fourth Proportional to 3,051.96, 4,211.73 and 1,654.71

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Solution

The fourth proportional to 3,051.96, 4,211.73 and 1,654.71 is: 2,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.96 : 4,211.73 = 1,654.71 : x
  2. Step 2: Convert to fraction form
    3,051.96/4,211.73 = 1,654.71/x
  3. Step 3: Cross multiply
    3,051.96x = 4,211.73 × 1,654.71
  4. Step 4: Simplify right side
    3,051.96x = 6,969,191.75
  5. Step 5: Solve for x
    x = 6,969,191.75/3,051.96
  6. Step 6: Final answer
    x = 2,283.51

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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.