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Finding the Fourth Proportional to 1,902.99, 2,855.50 and 1,897.17

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Solution

The fourth proportional to 1,902.99, 2,855.50 and 1,897.17 is: 2,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.99 : 2,855.50 = 1,897.17 : x
  2. Step 2: Convert to fraction form
    1,902.99/2,855.50 = 1,897.17/x
  3. Step 3: Cross multiply
    1,902.99x = 2,855.50 × 1,897.17
  4. Step 4: Simplify right side
    1,902.99x = 5,417,380.22
  5. Step 5: Solve for x
    x = 5,417,380.22/1,902.99
  6. Step 6: Final answer
    x = 2,846.77

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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.