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Finding the Fourth Proportional to 1,762.92, 2,644.45 and 667.37

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Solution

The fourth proportional to 1,762.92, 2,644.45 and 667.37 is: 1,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.92 : 2,644.45 = 667.37 : x
  2. Step 2: Convert to fraction form
    1,762.92/2,644.45 = 667.37/x
  3. Step 3: Cross multiply
    1,762.92x = 2,644.45 × 667.37
  4. Step 4: Simplify right side
    1,762.92x = 1,764,831.54
  5. Step 5: Solve for x
    x = 1,764,831.54/1,762.92
  6. Step 6: Final answer
    x = 1,001.08

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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.