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Finding the Fourth Proportional to 1,664.85, 2,497.46 and 625.35

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Solution

The fourth proportional to 1,664.85, 2,497.46 and 625.35 is: 938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.85 : 2,497.46 = 625.35 : x
  2. Step 2: Convert to fraction form
    1,664.85/2,497.46 = 625.35/x
  3. Step 3: Cross multiply
    1,664.85x = 2,497.46 × 625.35
  4. Step 4: Simplify right side
    1,664.85x = 1,561,783.48
  5. Step 5: Solve for x
    x = 1,561,783.48/1,664.85
  6. Step 6: Final answer
    x = 938.09

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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.