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Finding the Fourth Proportional to 1,623.44, 2,433.70 and 583.20

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Solution

The fourth proportional to 1,623.44, 2,433.70 and 583.20 is: 874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.44 : 2,433.70 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,623.44/2,433.70 = 583.20/x
  3. Step 3: Cross multiply
    1,623.44x = 2,433.70 × 583.20
  4. Step 4: Simplify right side
    1,623.44x = 1,419,332.38
  5. Step 5: Solve for x
    x = 1,419,332.38/1,623.44
  6. Step 6: Final answer
    x = 874.27

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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.