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Finding the Fourth Proportional to 1,731.73, 2,389.03 and 1,172.00

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Solution

The fourth proportional to 1,731.73, 2,389.03 and 1,172.00 is: 1,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.73 : 2,389.03 = 1,172.00 : x
  2. Step 2: Convert to fraction form
    1,731.73/2,389.03 = 1,172.00/x
  3. Step 3: Cross multiply
    1,731.73x = 2,389.03 × 1,172.00
  4. Step 4: Simplify right side
    1,731.73x = 2,799,928.28
  5. Step 5: Solve for x
    x = 2,799,928.28/1,731.73
  6. Step 6: Final answer
    x = 1,616.84

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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.