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Finding the Fourth Proportional to 1,682,053, 2,524,129.26 and 684,781

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Solution

The fourth proportional to 1,682,053, 2,524,129.26 and 684,781 is: 1,027,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,053 : 2,524,129.26 = 684,781 : x
  2. Step 2: Convert to fraction form
    1,682,053/2,524,129.26 = 684,781/x
  3. Step 3: Cross multiply
    1,682,053x = 2,524,129.26 × 684,781
  4. Step 4: Simplify right side
    1,682,053x = 1,728,475,758,792.06
  5. Step 5: Solve for x
    x = 1,728,475,758,792.06/1,682,053
  6. Step 6: Final answer
    x = 1,027,598.87

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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.