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Finding the Fourth Proportional to 2,659.72, 3,989.60 and 928.34

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Solution

The fourth proportional to 2,659.72, 3,989.60 and 928.34 is: 1,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.72 : 3,989.60 = 928.34 : x
  2. Step 2: Convert to fraction form
    2,659.72/3,989.60 = 928.34/x
  3. Step 3: Cross multiply
    2,659.72x = 3,989.60 × 928.34
  4. Step 4: Simplify right side
    2,659.72x = 3,703,705.26
  5. Step 5: Solve for x
    x = 3,703,705.26/2,659.72
  6. Step 6: Final answer
    x = 1,392.52

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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.