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Finding the Fourth Proportional to 3,096.23, 4,644.36 and 904.95

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Solution

The fourth proportional to 3,096.23, 4,644.36 and 904.95 is: 1,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.23 : 4,644.36 = 904.95 : x
  2. Step 2: Convert to fraction form
    3,096.23/4,644.36 = 904.95/x
  3. Step 3: Cross multiply
    3,096.23x = 4,644.36 × 904.95
  4. Step 4: Simplify right side
    3,096.23x = 4,202,913.58
  5. Step 5: Solve for x
    x = 4,202,913.58/3,096.23
  6. Step 6: Final answer
    x = 1,357.43

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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.