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Finding the Fourth Proportional to 4,761.42, 7,141.40 and 1,640.94

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Solution

The fourth proportional to 4,761.42, 7,141.40 and 1,640.94 is: 2,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.42 : 7,141.40 = 1,640.94 : x
  2. Step 2: Convert to fraction form
    4,761.42/7,141.40 = 1,640.94/x
  3. Step 3: Cross multiply
    4,761.42x = 7,141.40 × 1,640.94
  4. Step 4: Simplify right side
    4,761.42x = 11,718,608.92
  5. Step 5: Solve for x
    x = 11,718,608.92/4,761.42
  6. Step 6: Final answer
    x = 2,461.16

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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.