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Finding the Fourth Proportional to 1,806, 2,477.30 and 1,790.40

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Solution

The fourth proportional to 1,806, 2,477.30 and 1,790.40 is: 2,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806 : 2,477.30 = 1,790.40 : x
  2. Step 2: Convert to fraction form
    1,806/2,477.30 = 1,790.40/x
  3. Step 3: Cross multiply
    1,806x = 2,477.30 × 1,790.40
  4. Step 4: Simplify right side
    1,806x = 4,435,348.97
  5. Step 5: Solve for x
    x = 4,435,348.97/1,806
  6. Step 6: Final answer
    x = 2,455.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.