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Finding the Fourth Proportional to 3,046.56, 4,204.32 and 1,720.16

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Solution

The fourth proportional to 3,046.56, 4,204.32 and 1,720.16 is: 2,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.56 : 4,204.32 = 1,720.16 : x
  2. Step 2: Convert to fraction form
    3,046.56/4,204.32 = 1,720.16/x
  3. Step 3: Cross multiply
    3,046.56x = 4,204.32 × 1,720.16
  4. Step 4: Simplify right side
    3,046.56x = 7,232,103.09
  5. Step 5: Solve for x
    x = 7,232,103.09/3,046.56
  6. Step 6: Final answer
    x = 2,373.86

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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.