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Finding the Fourth Proportional to 1,681.89, 2,321.24 and 983.27

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Solution

The fourth proportional to 1,681.89, 2,321.24 and 983.27 is: 1,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.89 : 2,321.24 = 983.27 : x
  2. Step 2: Convert to fraction form
    1,681.89/2,321.24 = 983.27/x
  3. Step 3: Cross multiply
    1,681.89x = 2,321.24 × 983.27
  4. Step 4: Simplify right side
    1,681.89x = 2,282,389.13
  5. Step 5: Solve for x
    x = 2,282,389.13/1,681.89
  6. Step 6: Final answer
    x = 1,357.04

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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.