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Finding the Fourth Proportional to 1,981.83, 2,972.14 and 1,369.47

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Solution

The fourth proportional to 1,981.83, 2,972.14 and 1,369.47 is: 2,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.83 : 2,972.14 = 1,369.47 : x
  2. Step 2: Convert to fraction form
    1,981.83/2,972.14 = 1,369.47/x
  3. Step 3: Cross multiply
    1,981.83x = 2,972.14 × 1,369.47
  4. Step 4: Simplify right side
    1,981.83x = 4,070,271.99
  5. Step 5: Solve for x
    x = 4,070,271.99/1,981.83
  6. Step 6: Final answer
    x = 2,053.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.