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Finding the Fourth Proportional to 1,730.82, 2,607.92 and 1,429.44

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Solution

The fourth proportional to 1,730.82, 2,607.92 and 1,429.44 is: 2,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.82 : 2,607.92 = 1,429.44 : x
  2. Step 2: Convert to fraction form
    1,730.82/2,607.92 = 1,429.44/x
  3. Step 3: Cross multiply
    1,730.82x = 2,607.92 × 1,429.44
  4. Step 4: Simplify right side
    1,730.82x = 3,727,858.02
  5. Step 5: Solve for x
    x = 3,727,858.02/1,730.82
  6. Step 6: Final answer
    x = 2,153.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.