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Finding the Fourth Proportional to 1,512.32, 2,268.56 and 416.66

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Solution

The fourth proportional to 1,512.32, 2,268.56 and 416.66 is: 625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.32 : 2,268.56 = 416.66 : x
  2. Step 2: Convert to fraction form
    1,512.32/2,268.56 = 416.66/x
  3. Step 3: Cross multiply
    1,512.32x = 2,268.56 × 416.66
  4. Step 4: Simplify right side
    1,512.32x = 945,204.78
  5. Step 5: Solve for x
    x = 945,204.78/1,512.32
  6. Step 6: Final answer
    x = 625.01

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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.