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Finding the Fourth Proportional to 2,722.84, 4,084.25 and 1,798.18

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Solution

The fourth proportional to 2,722.84, 4,084.25 and 1,798.18 is: 2,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.84 : 4,084.25 = 1,798.18 : x
  2. Step 2: Convert to fraction form
    2,722.84/4,084.25 = 1,798.18/x
  3. Step 3: Cross multiply
    2,722.84x = 4,084.25 × 1,798.18
  4. Step 4: Simplify right side
    2,722.84x = 7,344,216.67
  5. Step 5: Solve for x
    x = 7,344,216.67/2,722.84
  6. Step 6: Final answer
    x = 2,697.26

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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.