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Finding the Fourth Proportional to 4,682.40, 7,024.54 and 1,760.73

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Solution

The fourth proportional to 4,682.40, 7,024.54 and 1,760.73 is: 2,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.40 : 7,024.54 = 1,760.73 : x
  2. Step 2: Convert to fraction form
    4,682.40/7,024.54 = 1,760.73/x
  3. Step 3: Cross multiply
    4,682.40x = 7,024.54 × 1,760.73
  4. Step 4: Simplify right side
    4,682.40x = 12,368,318.31
  5. Step 5: Solve for x
    x = 12,368,318.31/4,682.40
  6. Step 6: Final answer
    x = 2,641.45

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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.