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Finding the Fourth Proportional to 1,549.42, 2,324.09 and 624.95

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Solution

The fourth proportional to 1,549.42, 2,324.09 and 624.95 is: 937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.42 : 2,324.09 = 624.95 : x
  2. Step 2: Convert to fraction form
    1,549.42/2,324.09 = 624.95/x
  3. Step 3: Cross multiply
    1,549.42x = 2,324.09 × 624.95
  4. Step 4: Simplify right side
    1,549.42x = 1,452,440.05
  5. Step 5: Solve for x
    x = 1,452,440.05/1,549.42
  6. Step 6: Final answer
    x = 937.41

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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.