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Finding the Fourth Proportional to 3,046.77, 4,204.55 and 1,720.46

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Solution

The fourth proportional to 3,046.77, 4,204.55 and 1,720.46 is: 2,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.77 : 4,204.55 = 1,720.46 : x
  2. Step 2: Convert to fraction form
    3,046.77/4,204.55 = 1,720.46/x
  3. Step 3: Cross multiply
    3,046.77x = 4,204.55 × 1,720.46
  4. Step 4: Simplify right side
    3,046.77x = 7,233,730.47
  5. Step 5: Solve for x
    x = 7,233,730.47/3,046.77
  6. Step 6: Final answer
    x = 2,374.23

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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.