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Finding the Fourth Proportional to 1,652.06, 2,279.85 and 1,512.64

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Solution

The fourth proportional to 1,652.06, 2,279.85 and 1,512.64 is: 2,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.06 : 2,279.85 = 1,512.64 : x
  2. Step 2: Convert to fraction form
    1,652.06/2,279.85 = 1,512.64/x
  3. Step 3: Cross multiply
    1,652.06x = 2,279.85 × 1,512.64
  4. Step 4: Simplify right side
    1,652.06x = 3,448,589.48
  5. Step 5: Solve for x
    x = 3,448,589.48/1,652.06
  6. Step 6: Final answer
    x = 2,087.44

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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.