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Finding the Fourth Proportional to 3,046.71, 4,204.53 and 1,720.47

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Solution

The fourth proportional to 3,046.71, 4,204.53 and 1,720.47 is: 2,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.71 : 4,204.53 = 1,720.47 : x
  2. Step 2: Convert to fraction form
    3,046.71/4,204.53 = 1,720.47/x
  3. Step 3: Cross multiply
    3,046.71x = 4,204.53 × 1,720.47
  4. Step 4: Simplify right side
    3,046.71x = 7,233,767.73
  5. Step 5: Solve for x
    x = 7,233,767.73/3,046.71
  6. Step 6: Final answer
    x = 2,374.29

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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.