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Finding the Fourth Proportional to 1,604.53, 2,405.56 and 1,083.06

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Solution

The fourth proportional to 1,604.53, 2,405.56 and 1,083.06 is: 1,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.53 : 2,405.56 = 1,083.06 : x
  2. Step 2: Convert to fraction form
    1,604.53/2,405.56 = 1,083.06/x
  3. Step 3: Cross multiply
    1,604.53x = 2,405.56 × 1,083.06
  4. Step 4: Simplify right side
    1,604.53x = 2,605,363.11
  5. Step 5: Solve for x
    x = 2,605,363.11/1,604.53
  6. Step 6: Final answer
    x = 1,623.76

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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.