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Finding the Fourth Proportional to 1,623.93, 2,437.29 and 650.73

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Solution

The fourth proportional to 1,623.93, 2,437.29 and 650.73 is: 976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.93 : 2,437.29 = 650.73 : x
  2. Step 2: Convert to fraction form
    1,623.93/2,437.29 = 650.73/x
  3. Step 3: Cross multiply
    1,623.93x = 2,437.29 × 650.73
  4. Step 4: Simplify right side
    1,623.93x = 1,586,017.72
  5. Step 5: Solve for x
    x = 1,586,017.72/1,623.93
  6. Step 6: Final answer
    x = 976.65

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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.