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Finding the Fourth Proportional to 2,923.83, 4,385.70 and 732.56

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Solution

The fourth proportional to 2,923.83, 4,385.70 and 732.56 is: 1,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.83 : 4,385.70 = 732.56 : x
  2. Step 2: Convert to fraction form
    2,923.83/4,385.70 = 732.56/x
  3. Step 3: Cross multiply
    2,923.83x = 4,385.70 × 732.56
  4. Step 4: Simplify right side
    2,923.83x = 3,212,766.46
  5. Step 5: Solve for x
    x = 3,212,766.46/2,923.83
  6. Step 6: Final answer
    x = 1,098.82

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