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Finding the Fourth Proportional to 2,732.46, 3,770.82 and 1,490.46

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Solution

The fourth proportional to 2,732.46, 3,770.82 and 1,490.46 is: 2,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.46 : 3,770.82 = 1,490.46 : x
  2. Step 2: Convert to fraction form
    2,732.46/3,770.82 = 1,490.46/x
  3. Step 3: Cross multiply
    2,732.46x = 3,770.82 × 1,490.46
  4. Step 4: Simplify right side
    2,732.46x = 5,620,256.38
  5. Step 5: Solve for x
    x = 5,620,256.38/2,732.46
  6. Step 6: Final answer
    x = 2,056.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.