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Finding the Fourth Proportional to 2,941.22, 4,411.62 and 749.96

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Solution

The fourth proportional to 2,941.22, 4,411.62 and 749.96 is: 1,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.22 : 4,411.62 = 749.96 : x
  2. Step 2: Convert to fraction form
    2,941.22/4,411.62 = 749.96/x
  3. Step 3: Cross multiply
    2,941.22x = 4,411.62 × 749.96
  4. Step 4: Simplify right side
    2,941.22x = 3,308,538.54
  5. Step 5: Solve for x
    x = 3,308,538.54/2,941.22
  6. Step 6: Final answer
    x = 1,124.89

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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.