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Finding the Fourth Proportional to 1,728.84, 2,586.77 and 1,635.06

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Solution

The fourth proportional to 1,728.84, 2,586.77 and 1,635.06 is: 2,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.84 : 2,586.77 = 1,635.06 : x
  2. Step 2: Convert to fraction form
    1,728.84/2,586.77 = 1,635.06/x
  3. Step 3: Cross multiply
    1,728.84x = 2,586.77 × 1,635.06
  4. Step 4: Simplify right side
    1,728.84x = 4,229,541.01
  5. Step 5: Solve for x
    x = 4,229,541.01/1,728.84
  6. Step 6: Final answer
    x = 2,446.46

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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.