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Finding the Fourth Proportional to 1,731.46, 2,597.20 and 482.02

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Solution

The fourth proportional to 1,731.46, 2,597.20 and 482.02 is: 723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.46 : 2,597.20 = 482.02 : x
  2. Step 2: Convert to fraction form
    1,731.46/2,597.20 = 482.02/x
  3. Step 3: Cross multiply
    1,731.46x = 2,597.20 × 482.02
  4. Step 4: Simplify right side
    1,731.46x = 1,251,902.34
  5. Step 5: Solve for x
    x = 1,251,902.34/1,731.46
  6. Step 6: Final answer
    x = 723.03

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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.