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Finding the Fourth Proportional to 2,701, 4,051.73 and 753.22

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Solution

The fourth proportional to 2,701, 4,051.73 and 753.22 is: 1,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 4,051.73 = 753.22 : x
  2. Step 2: Convert to fraction form
    2,701/4,051.73 = 753.22/x
  3. Step 3: Cross multiply
    2,701x = 4,051.73 × 753.22
  4. Step 4: Simplify right side
    2,701x = 3,051,844.07
  5. Step 5: Solve for x
    x = 3,051,844.07/2,701
  6. Step 6: Final answer
    x = 1,129.89

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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.