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Finding the Fourth Proportional to 1,622.02, 2,433.05 and 596.02

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Solution

The fourth proportional to 1,622.02, 2,433.05 and 596.02 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.02 : 2,433.05 = 596.02 : x
  2. Step 2: Convert to fraction form
    1,622.02/2,433.05 = 596.02/x
  3. Step 3: Cross multiply
    1,622.02x = 2,433.05 × 596.02
  4. Step 4: Simplify right side
    1,622.02x = 1,450,146.46
  5. Step 5: Solve for x
    x = 1,450,146.46/1,622.02
  6. Step 6: Final answer
    x = 894.04

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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.