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Finding the Fourth Proportional to 1,664.46, 2,494.94 and 625.23

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Solution

The fourth proportional to 1,664.46, 2,494.94 and 625.23 is: 937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,494.94 = 625.23 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,494.94 = 625.23/x
  3. Step 3: Cross multiply
    1,664.46x = 2,494.94 × 625.23
  4. Step 4: Simplify right side
    1,664.46x = 1,559,908.21
  5. Step 5: Solve for x
    x = 1,559,908.21/1,664.46
  6. Step 6: Final answer
    x = 937.19

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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.