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Finding the Fourth Proportional to 1,623.68, 2,437.34 and 650.46

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Solution

The fourth proportional to 1,623.68, 2,437.34 and 650.46 is: 976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.68 : 2,437.34 = 650.46 : x
  2. Step 2: Convert to fraction form
    1,623.68/2,437.34 = 650.46/x
  3. Step 3: Cross multiply
    1,623.68x = 2,437.34 × 650.46
  4. Step 4: Simplify right side
    1,623.68x = 1,585,392.18
  5. Step 5: Solve for x
    x = 1,585,392.18/1,623.68
  6. Step 6: Final answer
    x = 976.42

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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.