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Finding the Fourth Proportional to 2,510.34, 3,464.94 and 1,724.22

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Solution

The fourth proportional to 2,510.34, 3,464.94 and 1,724.22 is: 2,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.34 : 3,464.94 = 1,724.22 : x
  2. Step 2: Convert to fraction form
    2,510.34/3,464.94 = 1,724.22/x
  3. Step 3: Cross multiply
    2,510.34x = 3,464.94 × 1,724.22
  4. Step 4: Simplify right side
    2,510.34x = 5,974,318.85
  5. Step 5: Solve for x
    x = 5,974,318.85/2,510.34
  6. Step 6: Final answer
    x = 2,379.88

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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.