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Finding the Fourth Proportional to 1,803.72, 2,705.37 and 1,342.19

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Solution

The fourth proportional to 1,803.72, 2,705.37 and 1,342.19 is: 2,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.72 : 2,705.37 = 1,342.19 : x
  2. Step 2: Convert to fraction form
    1,803.72/2,705.37 = 1,342.19/x
  3. Step 3: Cross multiply
    1,803.72x = 2,705.37 × 1,342.19
  4. Step 4: Simplify right side
    1,803.72x = 3,631,107.03
  5. Step 5: Solve for x
    x = 3,631,107.03/1,803.72
  6. Step 6: Final answer
    x = 2,013.12

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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.