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Finding the Fourth Proportional to 2,741.74, 4,113.29 and 892.96

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Solution

The fourth proportional to 2,741.74, 4,113.29 and 892.96 is: 1,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.74 : 4,113.29 = 892.96 : x
  2. Step 2: Convert to fraction form
    2,741.74/4,113.29 = 892.96/x
  3. Step 3: Cross multiply
    2,741.74x = 4,113.29 × 892.96
  4. Step 4: Simplify right side
    2,741.74x = 3,672,995.39
  5. Step 5: Solve for x
    x = 3,672,995.39/2,741.74
  6. Step 6: Final answer
    x = 1,339.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.