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Finding the Fourth Proportional to 3,051.34, 4,576.98 and 742.84

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Solution

The fourth proportional to 3,051.34, 4,576.98 and 742.84 is: 1,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.34 : 4,576.98 = 742.84 : x
  2. Step 2: Convert to fraction form
    3,051.34/4,576.98 = 742.84/x
  3. Step 3: Cross multiply
    3,051.34x = 4,576.98 × 742.84
  4. Step 4: Simplify right side
    3,051.34x = 3,399,963.82
  5. Step 5: Solve for x
    x = 3,399,963.82/3,051.34
  6. Step 6: Final answer
    x = 1,114.25

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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.