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Finding the Fourth Proportional to 1,624.73, 2,435.46 and 803.60

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Solution

The fourth proportional to 1,624.73, 2,435.46 and 803.60 is: 1,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.73 : 2,435.46 = 803.60 : x
  2. Step 2: Convert to fraction form
    1,624.73/2,435.46 = 803.60/x
  3. Step 3: Cross multiply
    1,624.73x = 2,435.46 × 803.60
  4. Step 4: Simplify right side
    1,624.73x = 1,957,123.48
  5. Step 5: Solve for x
    x = 1,957,123.48/1,624.73
  6. Step 6: Final answer
    x = 1,204.59

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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.