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Finding the Fourth Proportional to 1,623.43, 2,436.40 and 650.17

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Solution

The fourth proportional to 1,623.43, 2,436.40 and 650.17 is: 975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.43 : 2,436.40 = 650.17 : x
  2. Step 2: Convert to fraction form
    1,623.43/2,436.40 = 650.17/x
  3. Step 3: Cross multiply
    1,623.43x = 2,436.40 × 650.17
  4. Step 4: Simplify right side
    1,623.43x = 1,584,062.01
  5. Step 5: Solve for x
    x = 1,584,062.01/1,623.43
  6. Step 6: Final answer
    x = 975.75

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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.