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Finding the Fourth Proportional to 2,345.92, 3,234.72 and 1,754.56

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Solution

The fourth proportional to 2,345.92, 3,234.72 and 1,754.56 is: 2,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.92 : 3,234.72 = 1,754.56 : x
  2. Step 2: Convert to fraction form
    2,345.92/3,234.72 = 1,754.56/x
  3. Step 3: Cross multiply
    2,345.92x = 3,234.72 × 1,754.56
  4. Step 4: Simplify right side
    2,345.92x = 5,675,510.32
  5. Step 5: Solve for x
    x = 5,675,510.32/2,345.92
  6. Step 6: Final answer
    x = 2,419.31

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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.