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Finding the Fourth Proportional to 1,931.33, 2,896.57 and 544.75

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Solution

The fourth proportional to 1,931.33, 2,896.57 and 544.75 is: 817.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.33 : 2,896.57 = 544.75 : x
  2. Step 2: Convert to fraction form
    1,931.33/2,896.57 = 544.75/x
  3. Step 3: Cross multiply
    1,931.33x = 2,896.57 × 544.75
  4. Step 4: Simplify right side
    1,931.33x = 1,577,906.51
  5. Step 5: Solve for x
    x = 1,577,906.51/1,931.33
  6. Step 6: Final answer
    x = 817.01

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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.