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Finding the Fourth Proportional to 1,868.99, 2,800.82 and 1,477.26

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Solution

The fourth proportional to 1,868.99, 2,800.82 and 1,477.26 is: 2,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.99 : 2,800.82 = 1,477.26 : x
  2. Step 2: Convert to fraction form
    1,868.99/2,800.82 = 1,477.26/x
  3. Step 3: Cross multiply
    1,868.99x = 2,800.82 × 1,477.26
  4. Step 4: Simplify right side
    1,868.99x = 4,137,531.97
  5. Step 5: Solve for x
    x = 4,137,531.97/1,868.99
  6. Step 6: Final answer
    x = 2,213.79

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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.