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Finding the Fourth Proportional to 1,983,168, 2,743,977.60 and 1,729,048.32

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Solution

The fourth proportional to 1,983,168, 2,743,977.60 and 1,729,048.32 is: 2,392,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983,168 : 2,743,977.60 = 1,729,048.32 : x
  2. Step 2: Convert to fraction form
    1,983,168/2,743,977.60 = 1,729,048.32/x
  3. Step 3: Cross multiply
    1,983,168x = 2,743,977.60 × 1,729,048.32
  4. Step 4: Simplify right side
    1,983,168x = 4,744,469,859,397.63
  5. Step 5: Solve for x
    x = 4,744,469,859,397.63/1,983,168
  6. Step 6: Final answer
    x = 2,392,369.11

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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.