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Finding the Fourth Proportional to 1,931.52, 2,665.20 and 1,268.64

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Solution

The fourth proportional to 1,931.52, 2,665.20 and 1,268.64 is: 1,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.52 : 2,665.20 = 1,268.64 : x
  2. Step 2: Convert to fraction form
    1,931.52/2,665.20 = 1,268.64/x
  3. Step 3: Cross multiply
    1,931.52x = 2,665.20 × 1,268.64
  4. Step 4: Simplify right side
    1,931.52x = 3,381,179.33
  5. Step 5: Solve for x
    x = 3,381,179.33/1,931.52
  6. Step 6: Final answer
    x = 1,750.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.