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Finding the Fourth Proportional to 1,623.31, 2,433.44 and 649.49

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Solution

The fourth proportional to 1,623.31, 2,433.44 and 649.49 is: 973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.31 : 2,433.44 = 649.49 : x
  2. Step 2: Convert to fraction form
    1,623.31/2,433.44 = 649.49/x
  3. Step 3: Cross multiply
    1,623.31x = 2,433.44 × 649.49
  4. Step 4: Simplify right side
    1,623.31x = 1,580,484.40
  5. Step 5: Solve for x
    x = 1,580,484.40/1,623.31
  6. Step 6: Final answer
    x = 973.62

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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.