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Finding the Fourth Proportional to 1,730.33, 2,592.04 and 1,338.96

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Solution

The fourth proportional to 1,730.33, 2,592.04 and 1,338.96 is: 2,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.33 : 2,592.04 = 1,338.96 : x
  2. Step 2: Convert to fraction form
    1,730.33/2,592.04 = 1,338.96/x
  3. Step 3: Cross multiply
    1,730.33x = 2,592.04 × 1,338.96
  4. Step 4: Simplify right side
    1,730.33x = 3,470,637.88
  5. Step 5: Solve for x
    x = 3,470,637.88/1,730.33
  6. Step 6: Final answer
    x = 2,005.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.