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Finding the Fourth Proportional to 1,899,633.14, 2,849,982.42 and 763,193.36

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Solution

The fourth proportional to 1,899,633.14, 2,849,982.42 and 763,193.36 is: 1,145,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,633.14 : 2,849,982.42 = 763,193.36 : x
  2. Step 2: Convert to fraction form
    1,899,633.14/2,849,982.42 = 763,193.36/x
  3. Step 3: Cross multiply
    1,899,633.14x = 2,849,982.42 × 763,193.36
  4. Step 4: Simplify right side
    1,899,633.14x = 2,175,087,644,810.82
  5. Step 5: Solve for x
    x = 2,175,087,644,810.82/1,899,633.14
  6. Step 6: Final answer
    x = 1,145,004.06

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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.