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Finding the Fourth Proportional to 1,981.51, 2,972.04 and 500.73

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Solution

The fourth proportional to 1,981.51, 2,972.04 and 500.73 is: 751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.51 : 2,972.04 = 500.73 : x
  2. Step 2: Convert to fraction form
    1,981.51/2,972.04 = 500.73/x
  3. Step 3: Cross multiply
    1,981.51x = 2,972.04 × 500.73
  4. Step 4: Simplify right side
    1,981.51x = 1,488,174.73
  5. Step 5: Solve for x
    x = 1,488,174.73/1,981.51
  6. Step 6: Final answer
    x = 751.03

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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.