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Finding the Fourth Proportional to 3,477.80, 4,799.38 and 1,905.90

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Solution

The fourth proportional to 3,477.80, 4,799.38 and 1,905.90 is: 2,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.80 : 4,799.38 = 1,905.90 : x
  2. Step 2: Convert to fraction form
    3,477.80/4,799.38 = 1,905.90/x
  3. Step 3: Cross multiply
    3,477.80x = 4,799.38 × 1,905.90
  4. Step 4: Simplify right side
    3,477.80x = 9,147,138.34
  5. Step 5: Solve for x
    x = 9,147,138.34/3,477.80
  6. Step 6: Final answer
    x = 2,630.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.