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Finding the Fourth Proportional to 1,922.64, 2,883.93 and 624.09

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Solution

The fourth proportional to 1,922.64, 2,883.93 and 624.09 is: 936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.64 : 2,883.93 = 624.09 : x
  2. Step 2: Convert to fraction form
    1,922.64/2,883.93 = 624.09/x
  3. Step 3: Cross multiply
    1,922.64x = 2,883.93 × 624.09
  4. Step 4: Simplify right side
    1,922.64x = 1,799,831.87
  5. Step 5: Solve for x
    x = 1,799,831.87/1,922.64
  6. Step 6: Final answer
    x = 936.13

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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.