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Finding the Fourth Proportional to 2,019,781.98, 2,787,342.44 and 1,102,029.30

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Solution

The fourth proportional to 2,019,781.98, 2,787,342.44 and 1,102,029.30 is: 1,520,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,781.98 : 2,787,342.44 = 1,102,029.30 : x
  2. Step 2: Convert to fraction form
    2,019,781.98/2,787,342.44 = 1,102,029.30/x
  3. Step 3: Cross multiply
    2,019,781.98x = 2,787,342.44 × 1,102,029.30
  4. Step 4: Simplify right side
    2,019,781.98x = 3,071,733,032,503.35
  5. Step 5: Solve for x
    x = 3,071,733,032,503.35/2,019,781.98
  6. Step 6: Final answer
    x = 1,520,824.06

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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.