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Finding the Fourth Proportional to 3,172.30, 4,758.63 and 981.34

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Solution

The fourth proportional to 3,172.30, 4,758.63 and 981.34 is: 1,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.30 : 4,758.63 = 981.34 : x
  2. Step 2: Convert to fraction form
    3,172.30/4,758.63 = 981.34/x
  3. Step 3: Cross multiply
    3,172.30x = 4,758.63 × 981.34
  4. Step 4: Simplify right side
    3,172.30x = 4,669,833.96
  5. Step 5: Solve for x
    x = 4,669,833.96/3,172.30
  6. Step 6: Final answer
    x = 1,472.07

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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.