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Finding the Fourth Proportional to 1,825.98, 2,721.60 and 1,722.18

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Solution

The fourth proportional to 1,825.98, 2,721.60 and 1,722.18 is: 2,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.98 : 2,721.60 = 1,722.18 : x
  2. Step 2: Convert to fraction form
    1,825.98/2,721.60 = 1,722.18/x
  3. Step 3: Cross multiply
    1,825.98x = 2,721.60 × 1,722.18
  4. Step 4: Simplify right side
    1,825.98x = 4,687,085.09
  5. Step 5: Solve for x
    x = 4,687,085.09/1,825.98
  6. Step 6: Final answer
    x = 2,566.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.