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Finding the Fourth Proportional to 2,741.69, 4,113.30 and 892.57

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Solution

The fourth proportional to 2,741.69, 4,113.30 and 892.57 is: 1,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.69 : 4,113.30 = 892.57 : x
  2. Step 2: Convert to fraction form
    2,741.69/4,113.30 = 892.57/x
  3. Step 3: Cross multiply
    2,741.69x = 4,113.30 × 892.57
  4. Step 4: Simplify right side
    2,741.69x = 3,671,403.00
  5. Step 5: Solve for x
    x = 3,671,403.00/2,741.69
  6. Step 6: Final answer
    x = 1,339.10

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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.