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Finding the Fourth Proportional to 1,971,024.10, 2,954,895.90 and 834,658.90

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Solution

The fourth proportional to 1,971,024.10, 2,954,895.90 and 834,658.90 is: 1,251,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,024.10 : 2,954,895.90 = 834,658.90 : x
  2. Step 2: Convert to fraction form
    1,971,024.10/2,954,895.90 = 834,658.90/x
  3. Step 3: Cross multiply
    1,971,024.10x = 2,954,895.90 × 834,658.90
  4. Step 4: Simplify right side
    1,971,024.10x = 2,466,330,161,508.51
  5. Step 5: Solve for x
    x = 2,466,330,161,508.51/1,971,024.10
  6. Step 6: Final answer
    x = 1,251,293.76

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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.