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Finding the Fourth Proportional to 4,760.73, 7,141.94 and 1,641.07

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Solution

The fourth proportional to 4,760.73, 7,141.94 and 1,641.07 is: 2,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.73 : 7,141.94 = 1,641.07 : x
  2. Step 2: Convert to fraction form
    4,760.73/7,141.94 = 1,641.07/x
  3. Step 3: Cross multiply
    4,760.73x = 7,141.94 × 1,641.07
  4. Step 4: Simplify right side
    4,760.73x = 11,720,423.48
  5. Step 5: Solve for x
    x = 11,720,423.48/4,760.73
  6. Step 6: Final answer
    x = 2,461.90

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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.