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Finding the Fourth Proportional to 3,046.64, 4,204.36 and 1,720.43

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Solution

The fourth proportional to 3,046.64, 4,204.36 and 1,720.43 is: 2,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.64 : 4,204.36 = 1,720.43 : x
  2. Step 2: Convert to fraction form
    3,046.64/4,204.36 = 1,720.43/x
  3. Step 3: Cross multiply
    3,046.64x = 4,204.36 × 1,720.43
  4. Step 4: Simplify right side
    3,046.64x = 7,233,300.86
  5. Step 5: Solve for x
    x = 7,233,300.86/3,046.64
  6. Step 6: Final answer
    x = 2,374.19

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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.