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Finding the Fourth Proportional to 3,112.64, 4,659.20 and 2,646.08

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Solution

The fourth proportional to 3,112.64, 4,659.20 and 2,646.08 is: 3,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.64 : 4,659.20 = 2,646.08 : x
  2. Step 2: Convert to fraction form
    3,112.64/4,659.20 = 2,646.08/x
  3. Step 3: Cross multiply
    3,112.64x = 4,659.20 × 2,646.08
  4. Step 4: Simplify right side
    3,112.64x = 12,328,615.94
  5. Step 5: Solve for x
    x = 12,328,615.94/3,112.64
  6. Step 6: Final answer
    x = 3,960.82

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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.